Did Piers Plowman have any themes regarding the plague?

Piers Plowman is strongly influenced by the plague, or the Black Death, to give it its more famous name, which is demonstrated in its setting and characters. The Black Death  devastated the English countryside every bit as much as the rest of Europe. Entire villages were decimated; towns became ghost towns full of empty, decaying houses.

The plague had a particularly disastrous effect upon the rural economy. With fewer hands available to help bring in the harvest large tracts of agricultural land fell into disuse, turning to wasteland and scrub. This had a significant knock-on effect on the structure of rural society. The old feudal system was quickly undermined as the huge labor shortage meant that those working the land could command higher wages—and as they were no longer tied to the land they could, for the first time in their lives, move elsewhere to make a living. Many of these laborers moved to towns, which led to increased urbanization and the growth of the urban economy.

This, then, is the background against which Piers Plowman is set. The countryside has been turned upside-down by the plague; the old certainties have vanished. In its stead we have a chaotic society in which all classes of people have departed from the traditional path of Christianity. Langland uses the plague and its terrible aftermath as an opportunity to moralize, to try and bring both noblemen and common folk alike back to the godliness which they were supposed to have displayed prior to the Black Death.

The social decay caused by the plague is used by Langland as a metaphor for the spiritual descent of rural society as a whole. He clearly resents the changes which have overtaken the countryside, and in particular the increased urbanization to which they've led. At the same time, he sees this as an opportunity to transform the new society, one in which the growing poverty of the towns and the corruption of Church and government are challenged on the basis of the Word of Christ.

For Langland, plague and sin are closely related. Plague is a sign of the apocalypse, a sign that mankind is sinful and must be punished. In that sense, the plague could be interpreted as an expression of divine wrath. More than that, it acts as a purgative to society, cleansing the rural social system of lazy peasants who refuse to work. For only through

 . . . pryde and pestilence shal moche peple feche.

Pestilence acts as a social and moral corrective, removing the stain of sin from society. To that end, it's necessary that sinners must die in order for us to build a godly Christian kingdom. For only then

 . . . shal deth withdrawe and derth be iustice.

Divine justice can only be etsablished once the pestilence has desecended upon the sinners and carried them off to hell. Though Langland's Medieval worldview seems both strange and offensive today, there can be little doubt that his attitudes were widely shared at the time. A deeply religious society had been shaken to the core by a hideous disease it never fully understood. The only way such a cataclysmic event could reasonably be explained was as an act of God, sent by Him to remind us to heed and remedy our sinful ways.

How has Shakespeare interwoven the main plot of The Merchant of Venice with the subplots?

The main plot of Shakespeare's The Merchant of Venice is the Antonio-Bassanio-Shylock plot, in which the merchant Antonio borrows money from the Jewish moneylender Shylock in order to fund Bassanio's courtship. Along the way, Shylock convinces Antonio to agree to giving him a pound of flesh if he can't pay back the loan. This plot is the main focus of the story, but it also relies on two subplots to progress.

First of all, there is...

The main plot of Shakespeare's The Merchant of Venice is the Antonio-Bassanio-Shylock plot, in which the merchant Antonio borrows money from the Jewish moneylender Shylock in order to fund Bassanio's courtship. Along the way, Shylock convinces Antonio to agree to giving him a pound of flesh if he can't pay back the loan. This plot is the main focus of the story, but it also relies on two subplots to progress.

First of all, there is the subplot involving Portia, her suitors, and the three caskets. In this subplot, a series of suitors try to guess the correct casket and win the right to marry Portia, a rich heiress. This subplot is interwoven with the main plot because Portia is the woman Bassanio aims to woo, and so Antonio only borrows the money from Shylock in order to help Bassanio fund his attempt to win the heiress of Belmont's love. 

Second, there is a subplot involving Lorenzo, a friend of Bassanio and Antonio, and Jessica, Shylock's daughter. Lorenzo and Jessica elope, enraging Shylock. This second subplot connects to the main plot because, since Shylock is upset with Lorenzo for stealing away his daughter, he's in a particularly foul mood, especially when it comes to Lorenzo's friends, Antonio and Bassanio. Thus, when Antonio fails to pay the loan, Shylock is only too happy to exact his revenge. Thus begins the main climax of the story and the famous trial scene in which Portia comes to Antonio's rescue.

Therefore, we can see that the main plot of the play relies on two interwoven subplots to progress, and the ways in which Shakespeare brings these seemingly diverse stories together is quite masterful. 

Key details of chapter 7 of The Witch of Blackbird Pond.

The key details of chapter 7 are:

1) William comes to call on Kit. The visit prompts Mercy and Judith to conclude that William is serious about marrying Kit. Meanwhile, Kit balks at the idea of marrying William, as she thinks that they share few interests.

2) In this chapter, we learn that William is an introspective young man who has little appetite for polite conversation. His exchange with Uncle Matthew, however, shows that he...

The key details of chapter 7 are:

1) William comes to call on Kit. The visit prompts Mercy and Judith to conclude that William is serious about marrying Kit. Meanwhile, Kit balks at the idea of marrying William, as she thinks that they share few interests.

2) In this chapter, we learn that William is an introspective young man who has little appetite for polite conversation. His exchange with Uncle Matthew, however, shows that he harbors deep Loyalist roots, which he will defend when provoked.

3) Uncle Matthew and William are at opposite sides of the political spectrum. While Uncle Matthew is a Patriot, William is a Loyalist. The latter is convinced that the king needs to be placated in order for British citizens to retain some measure of their rights. Meanwhile, Uncle Matthew believes that the king is a threat to the personal freedom of all British citizens.

4) The chapter ends with Kit confused about her feelings for William. While she likes the idea that William is simply content to admire her beauty during his visits, she balks at his confidence that she will eventually accept his pursuit. Still, William apparently does not require a wife to engage in labor-intensive and burdensome work, a definite positive in Kit's mind.

Where do cells get the energy they need to create the energy-rich compound ATP?

There are lots of different kinds of cells that exist; therefore, describing a single method by which every cell makes ATP is not possible.  I believe that the question is likely asking about human cells.  With that in mind, the general, broad answer is that cells create ATP energy from chemical reactions that begin with glucose and oxygen. 

The process is called cellular respiration. The basic formula is as follows:

Glucose + Oxygen --> Carbon...

There are lots of different kinds of cells that exist; therefore, describing a single method by which every cell makes ATP is not possible.  I believe that the question is likely asking about human cells.  With that in mind, the general, broad answer is that cells create ATP energy from chemical reactions that begin with glucose and oxygen. 

The process is called cellular respiration. The basic formula is as follows:

Glucose + Oxygen --> Carbon Dioxide + Water + ATP

Cellular respiration can be divided into a few main steps.  The first step is glycolysis.  It will produce a net gain of 2 ATP.  The 2nd step is respiration.  This step is also called the Kreb's Cycle.  It will produce 2 more ATP.  This is followed by the electron transport chain.  In general, it will produce a 34 ATP units, but that number can vary depending on the cell type.  That gives a total of 38 units of ATP that cells produce from glucose and oxygen through the process of cellular respiration. 

In "The Open Window" by Saki, when does Mr. Framton Nuttel run out of the Sappleton's house?

In Saki's "The Open Window," Vera, a young girl of fifteen, takes advantage of a weak man's ignorance to play a practical joke on him. She sets up the scene perfectly by first asking if he knows anyone in the area. When Mr. Nuttel says that he does not know anyone, the girl tells him a tragic tale about losing her uncle and cousins to a hunting incident a few years earlier. Vera must be...

In Saki's "The Open Window," Vera, a young girl of fifteen, takes advantage of a weak man's ignorance to play a practical joke on him. She sets up the scene perfectly by first asking if he knows anyone in the area. When Mr. Nuttel says that he does not know anyone, the girl tells him a tragic tale about losing her uncle and cousins to a hunting incident a few years earlier. Vera must be a great storyteller because her tale is believable and probable by the way she describes it. Additionally, Vera's timing and acting skills are perfectly executed because when the men come back from hunting, she pretends that she sees them as ghosts. Her response to the men, along with her believable story, convinces Mr. Nuttel that the young girl has been telling the truth, only to discover an unexpected ending. However, the point at which Mr. Nuttel runs out of the Sappleton's house is when one of the men starts to sing a song that Vera refers to in the story. The text reads as follows:

"Noiselessly they neared the house, and then a hoarse young voice chanted out of the dusk: 'I said, Bertie, why do you bound?'"

When Mr. Nuttel hears the man singing the song from the girl's story, he concludes that these are the three men from the story he has just heard. It is at this point that he grabs for his personal items and bolts out of the house and down the road. Mr. Nuttel not only proves that he is gullible, but that he is superstitious and probably believes everything he hears. 

`y=x^3/2 , y=0 , x=3` Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the...

To be able to use the shell method, a rectangular strip from the bounded plane region should be parallel to the axis of revolution. By revolving multiple rectangular strip, it forms infinite numbers of these hollow pipes or representative cylinders.

 In this method, we follow the formula: `V = int_a^b ` (length * height * thickness)

or `V = int_a^b 2pi` * radius*height*thickness

where:

radius (r)= distance of the rectangular strip to the axis...

To be able to use the shell method, a rectangular strip from the bounded plane region should be parallel to the axis of revolution. By revolving multiple rectangular strip, it forms infinite numbers of these hollow pipes or representative cylinders.

 In this method, we follow the formula: `V = int_a^b ` (length * height * thickness)

or `V = int_a^b 2pi` * radius*height*thickness

where:

radius (r)= distance of the rectangular strip to the axis of revolution

height (h) = length of the rectangular strip

thickness = width  of the rectangular strip  as `dx` or `dy` .

For the bounded region, as shown on the attached image, the rectangular strip is parallel to y-axis (axis of rotation). We can let:

`r=x`

`h=f(x)` or `h=y_(above)-y_(below)`

`h= x^3/2-0 =x^3/2`

thickness `= dx`

 Boundary values of `x` from `a=0` to `b =3` .

Plug-in the values on `V = int_a^b 2pi` * radius*height*thickness, we get:

`V = int_0^3 2pi*x*(x^3/2)*dx`

Simplify: `V = int_0^3 pi*x*(x^3)dx`

Apply Law of Exponent: `x^n*x^m = x^((n+m)).`

`V = int_0^3 pi*x*(x^3)dx`

`V = int_0^3 pi(x^4)dx`

Apply basic integration property: `intc*f(x) dx = c int f(x) dx` and Power rule for integration formula : `int x^n dx =x^(n+1)/(n+1)` .

`V = int_0^3 pi(x^4)dx`

  `= pi* int_0^3 (x^4)dx`

  ` = pi*x^((4+1))/((4+1))|_0^3`

   ` =(pix^5)/5|_0^3`

Apply the definite integral formula: `int _a^b f(x) dx = F(b) - F(a)` .

`V =(pi(3)^5)/5 -(pi(0)^5)/5`

`V = (243pi)/5 -0`

`V =(243pi)/5 ` or `152.68` (approximated value)

What difficulties do Lennie and George face throughout their adventures?

One is made aware from the outset not only of the contrast in size between George and Lennie but also of their obvious difference in intellectual capacity. Both these disparities are responsible for some of the difficulties they encounter throughout the novel. Since Lennie is so large and very childlike, he does not realize his own strength. In addition, his mental ability affects his attitude and approach to things. Lennie, like a small child, loves stroking soft things. He seems to have developed an obsession to explore, in a tactile sense, the texture of soft materials and objects, be they alive or dead. He derives tremendous satisfaction from fondling velvety, furry, plush objects. It this fixation that often gets them in trouble. 

Lennie's fetish creates friction in his relationship with George and leads to conflict between them. In chapter one, for example, George discovers that Lennie had been fondling a dead mouse. He is upset about it and scolds him.

"Give it here!"
Lennie's closed hand slowly obeyed. George took the mouse and threw it across the pool to the other side, among the brush. "What you want of a dead mouse, anyways?"
"I could pet it with my thumb while we walked along," said Lennie. "Well, you ain't petting no mice while you walk with me."

Another difficulty is the fact that Lennie hardly ever remembers what George tells him. George is upset that Lennie can't remember where they are going.

"Where we goin', George?"
The little man jerked down the brim of his hat and scowled over at Lennie. "So you forgot that awready, did you? I gotta tell you again, do I? Jesus Christ, you're a crazy bastard!"

Since Lennie has such a poor memory, it complicates their situation; George has to continuously remind him of what to do and what not to do so that they can stay out of trouble. It is tragic and tough that at the end of the novel Lennie forgets one particular incident when they were in desperate trouble. When they were working a ranch in Weed, Lennie fondled a young woman's dress, and when she became upset and started screaming, he held on tighter. She became desperate and wrenched away from him, tearing her dress in the process. She claimed that Lennie had abused her and George and Lennie had to hide in a ditch for hours to escape their persecutors. In the end, Lennie fondles Curley's wife's hair, and when she tries to scream, he unfortunately breaks her neck.

A minor difficulty that the two experience at the beginning of the novel is when the uncaring bus driver drops them quite a distance from the ranch that they are supposed to work at. As George says:

"We could just as well of rode clear to the ranch if that bastard bus driver knew what he was talkin' about. 'Jes' a little stretch down the highway,' he says. 'Jes' a little stretch.' God damn near four miles, that's what it was! Didn't wanta stop at the ranch gate, that's what. Too God damn lazy to pull up.

This gets them into trouble with the ranch owner. They are, however, fortunate that he believes their story, although he is still suspicious, saying,

"All right. But don't try to put nothing over, 'cause you can't get away with nothing. I seen wise guys before..."    

Another difficulty the two men encounter is Lennie's interest in Curley's wife. He finds her "purty" when he sees her the first time. George has heard from Candy that she tends to flirt with all the men on the ranch, and he immediately assumes the worst of her. He tells Lennie to stay away, probably because he is thinking about the incident in Weed. Furthermore, Curley, the ranch owner's son, later picks a fight with Lennie and hits him in the face. Lennie breaks his hand, and Curley is humiliated. He resents Lennie, but Slim tells him not to talk about the incident because, he warns, he will tell the truth about how Curley came to be so badly injured. Curley, who is insecure, accedes because he does not want to be embarrassed. Slim's intervention probably saves the two from being dismissed.

In spite of all the difficulties they have, the two men share a deep bond. They are tied to each other because George has made a solemn pledge to Lennie's aunt Clara that he will look after Lennie. He enjoys the task of being Lennie's guardian. Furthermore, the two men have a common goal. Their dream is to buy ten acres of land and gain their independence. This dream becomes the foundation on which their relationship rests and gives them the confidence to resist every attempt to break them apart—until the unfortunate and tragic end.

In Connell's "The Most Dangerous Game," how do we know Rainsford is an exceptionally fit man?

Sanger Rainsford is Richard Connell's protagonist in "The Most Dangerous Game." The reader first discovers Rainsford is a fit man at the beginning of the story after he falls off the yacht and swims through ocean currents toward Ship-Trap Island. The text says the following about this swim for safety:

Doggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength. For seemingly endless time he fought the sea. He began to count his strokes; he could do possibly a hundred more.

From this passage, the reader learns that not only does Rainsford know how to swim with intention, but the swim isn't easy because he has to fight through the ocean.

Rainsford then proves he is at the top of his game physically when he is hunted for three days in a jungle. For instance, Rainsford runs through the forest, climbs trees, digs pits, and makes elaborate traps during this three-day traumatic activity. Not only that, but he does it with very little sleep. 

Additionally, Rainsford proves he is in top shape when he jumps from some island cliffs, survives the fall, and swims around the island at the end of the third day. He then finds his way to General Zaroff's personal quarters. Zaroff is taken completely by surprise as follows:

"Rainsford!" screamed the general. "How in God's name did you get here?"

"Swam," said Rainsford. "I found it quicker than walking through the jungle."

Rainsford does not die of exhaustion, nor does he get injured over the course of such an intense few days. Only a man in the best physical shape could have accomplished what Rainsford does.

How did the arrivals of the Europeans affect the Fur Trade?

The Europeans affected the fur trade and the people involved in many ways. Europeans in North America and back home in Europe loved furs. This increased the fur trade substantially which caused many problems. There was increased conflict between tribes as they competed for control over areas and trade routes. This caused territorial ownership and greed that did not exist in Native tribes previously. Native fur traders gave up their nomadic lifestyle to be able to stay closer to other traders. Natives once hunted animals only to get what they needed to survive. Once Europeans entered the fur trade, hunting increased substantially and effected animal populations.

Trading also introduced things outside of furs, such as religion, alcohol and diseases. With more and more contact with Europeans, Natives were seen as savages and they needed to be cultured. Religious leaders and groups began to travel to Native tribes and teach them how to be civilized. The added contact also introduced diseases that Native populations had never experienced before. Many tribes were devastated by the number of people who died and could no longer function without the help of European society. This led to Natives relying on trading posts to buy food and products to survive. They got used to European conveniences and over generations they lost the ability to do things that their ancestors could. Alcohol was another item introduced to Aboriginals through trading. For some, this negatively affected their life as they spent their money on alcohol instead of things they needed.  

The fur trading industry could be seen as a positive for some, but overall, it affected the lifestyle of Aboriginal tribes so much that they were no longer able to return to the life they enjoyed before European arrival. 

How did tobacco save Jamestown's colony?

The Jamestown colony was first and foremost a mercantile enterprise. The stated aims of the company were to find and develop the region’s natural resources—gold, silver, and precious gems especially. Failing to find precious metals and gems, the company turned to trade as a way to grow the colony. In the early years, many colonists viewed Virginia as a place to make a quick fortune and intended to return to England as soon as possible. Few early adventurers sought to establish deep roots in the colony.

First brought to Europe by Columbus, tobacco was a known commodity to English merchants. Spain's monopoly on new world trade however created a trade deficit for England, which the Virginia Company was intended to abate. The tobacco plant native to Virginia, Nicotiana rustica, was shared with the English colonists by the native Powhatans during the time of the ill-fated Roanoke colony. The Virginia plant species was bitter in flavor compared to the milder tobacco grown in the Spanish colonies of the Caribbean.

In 1612, John Rolfe experimented with seeds of the Caribbean species, Nicotiana tabacum, which did well in the fertile Virginia soils. In 1614-15, after just two years of cultivation, more than a ton of tobacco was exported to England. By 1630 that figure rose to a half million tons, which more than doubled by 1640.

As exports of the new English tobacco proved to be a valuable cash crop for the Virginia Company, it spurred migration to the colonies by eager fortune seekers. Jamestown, as the Virginia colony's entry point and principal center, and its surrounding outpost settlements, began to thrive as new colonists sought new land to cultivate. The company's offer of 50-acre land grants to new immigrants opened a flood of new migrants entering and spreading out from the James River valley.

The land-grant incentive gave claimants an additional 50 acres for any immigrants whose passage they paid. This program and the land requirements of tobacco cultivation, enabled farming in Virginia to escalate from small plots managed by a single farmer, to large, plantation-style farms requiring a larger workforce to maintain. This opened the gates to the system of indentured servants, who came as bonded laborers, and then the import of African slaves in 1619.

Between 1618 and 1620, the English population of Virginia grew from a few hundred to nearly 1,500 people. Through the first decade of settlement, the population was almost exclusively young, unmarried men. In 1620 the first single women began to arrive in the colony. The tide of immigration changed due to the tobacco boom of the 1620s as families now arrived seeking to live as permanent settlers. 

Add 1 plus 2 plus 3 plus 4. . . all the way to 100.

There is a story behind this problem.  It is said that a famous mathematician by the name of Carl Gauss was punished for poor behavior in class, so he was told to stay after school.  As punishment, the teacher told Carl to add the numbers from 1 to 100, thinking it was going to take him a long time to do.  Gauss completed the problem rather quickly and, thus, got to leave detention early.The...

There is a story behind this problem.  It is said that a famous mathematician by the name of Carl Gauss was punished for poor behavior in class, so he was told to stay after school.  As punishment, the teacher told Carl to add the numbers from 1 to 100, thinking it was going to take him a long time to do.  Gauss completed the problem rather quickly and, thus, got to leave detention early.

The way he did it was he recognized that 1+100 was 101, 2+99 was 101, and 3+98 was 101.  This would occur all the way up to 50+51.  As a result, there were 50 pairs of numbers that added to 101. Accordingly, Gauss multiplied 50 by 101 in order to get 5050.

Explain why Squeaky makes Raymond walk on the inside when they walk down Broadway.

In Toni Cade Bambara’s story “Raymond’s Run” Squeaky takes care of her older brother Raymond, who lives with developmental delays. This is her family contribution which allows her mother to care for their home. 

While caring for Raymond, she often takes him for walks in the city. Squeaky practices her breathing and high stepping with Raymond tagging along. Unfortunately, there are times when he pretends the curbing along the road is a tight rope, or...

In Toni Cade Bambara’s story “Raymond’s Run” Squeaky takes care of her older brother Raymond, who lives with developmental delays. This is her family contribution which allows her mother to care for their home. 

While caring for Raymond, she often takes him for walks in the city. Squeaky practices her breathing and high stepping with Raymond tagging along. Unfortunately, there are times when he pretends the curbing along the road is a tight rope, or he plays in the puddles. If he goes home with wet pants legs, Squeaky is disciplined for Raymond’s actions. There are times he runs into traffic and out onto the island in Broadway causing the pigeons to scatter. These actions upset the people who are eating lunch or just relaxing in the sun, and Squeaky must make amends. Therefore, Squeaky devised a system to have Raymond walk on the inside between her and the buildings. This system keeps Raymond safe and Squeaky in her parent’s good graces.

So I keep Raymond on the inside of me, and he plays like he’s driving a stage coach which is OK by me so long as he doesn’t run me over or interrupt my breathing exercises, which I have to do on account of I’m serious about my running, and I don’t care who knows it.

How do images signify the literal and symbolic importance of objects to the development of the plot in "The Scarlet Ibis?"

The bleeding tree is a striking image because it bleeds sap and this symbolically foreshadows Doodle's death. The scarlet ibis brings even more symbolic clarity to this first comparison. The ibis is actually (literally) red and in this story, this is certainly symbolic of blood. The bleeding tree and the blood red color of the ibis all symbolize Doodle's blood at the end of the story. Despite Doodle's progress (at the hands of Brother's selfish...

The bleeding tree is a striking image because it bleeds sap and this symbolically foreshadows Doodle's death. The scarlet ibis brings even more symbolic clarity to this first comparison. The ibis is actually (literally) red and in this story, this is certainly symbolic of blood. The bleeding tree and the blood red color of the ibis all symbolize Doodle's blood at the end of the story. Despite Doodle's progress (at the hands of Brother's selfish motivation), these morbid images keep emerging.

Doodle's coffin is also an image that literally and symbolically refers to death. Doodle's father had it made when he was born, thinking he would not survive. Doodle survives, but they keep the coffin. Brother cruelly torments him the coffin, making sure he knows it was made for him.

Even after Doodle survives his infancy and learns to walk, the family keeps the coffin. "Within a few months Doodle had learned to walk well and his go-cart was put up in the barn loft (it's still there) beside his little mahogany coffin." That image of death is literally and symbolically still there. Between the bleeding tree, the scarlet ibis, and the coffin, the story constantly uses images to foreshadow blood and death.

`y = x^(2/x)` Use logarithmic differentiation to find dy/dx

 For the given problem:` y = x^(2/x)` , we apply the natural logarithm on both sides:

`ln(y) =ln(x^(2/x))`

Apply the natural logarithm property: `ln(x^n) = n*ln(x)` .

`ln(y) = (2/x) *ln(x)`

Apply chain rule  on the left side since y is is function of x.

`d/dx(ln(y))= 1/y *y'`

Apply product rule:` d/(dx) (u*v) = u'*v + v' *u` on the right side:

Let `u=2/x` then `u' = -2/x^2`

    ` v =ln(x)` then`...

 For the given problem:` y = x^(2/x)` , we apply the natural logarithm on both sides:

`ln(y) =ln(x^(2/x))`

Apply the natural logarithm property: `ln(x^n) = n*ln(x)` .

`ln(y) = (2/x) *ln(x)`

Apply chain rule  on the left side since y is is function of x.

`d/dx(ln(y))= 1/y *y'`

Apply product rule:` d/(dx) (u*v) = u'*v + v' *u` on the right side:

Let `u=2/x` then `u' = -2/x^2`

    ` v =ln(x)` then` v' = 1/x`

`d/(dx) ((2/x) *ln(x)) =d/(dx) ((2/x)) *ln(x) +(2/x) *d/(dx) (ln(x))`

                                `= (-2/x^2)*ln(x) + (2/x)(1/x)`

                              ` =(-2)/(x^2ln(x))+ 2/x^2`

                          ` = (-2ln(x)+2)/x^2`

The derivative of `ln(y) = (2/x) *ln(x) ` becomes :

`1/y*y'=(-2ln(x)+2)/x^2`

 Isolate y' by multiplying both sides by (y):

`y* (1/y*y')= ((-2ln(x)+2)/x^2)*y`

`y' =((-2ln(x)+2)*y)/x^2`

Plug-in `y = x^(2/x) `  on the right side:

`y' =((-2ln(x)+2)*x^(2/x))/x^2`

Or `y' =((-2ln(x)+2)*x^(2/x))*x^(-2)`

   `y' =(-2ln(x)+2)*x^(2/x-2)`

   `y' =(-2ln(x)+2)*x^((2-2x)/x)`

   ` y' =-2x^((2-2x)/x)ln(x)+2x^((2-2x)/x)`

`    y = -2x^((2-2x)/x) (lnx-1)

In The Zookeeper's Wife by Diane Ackerman, the zoo becomes a safe haven for many people during the Holocaust and it also houses many animals. What...

In The Zookeeper's Wife, the zoo is both a hiding place for those escaping persecution during the Holocaust and a symbol used to communicate various ideas throughout the story. In a sense, the zoo takes on a life of its own and could be considered a character as well as a setting because it is so heavily described. Because of his role as zookeeper, Jan is able to manipulate authority figures with an interest...

In The Zookeeper's Wife, the zoo is both a hiding place for those escaping persecution during the Holocaust and a symbol used to communicate various ideas throughout the story. In a sense, the zoo takes on a life of its own and could be considered a character as well as a setting because it is so heavily described. Because of his role as zookeeper, Jan is able to manipulate authority figures with an interest in evolution, zoology and the rare creatures he houses. These connections allow him to develop a stronger cover for the people he helps escape Nazi persecution.

Symbolism of the Zoo

Ackerman is a naturalist writer who places much emphasis on describing the many species of animals found in the zoo. She uses the behavior of the animals and her understanding of nature as metaphors for human behavior. For example, the Nazis are compared to a pack of wolves preying upon the innocent population of Warsaw, Poland. Like wolves, they rampage and consume mercilessly. Jan also observes that people and animals both have their "strategies of deceit" that allow them to move more freely under the threat of lurking predators. For the Jewish occupants of Warsaw, this strategy of deceit comes into play in the covers they use to leave the ghettos the Nazis have confined them in. Antonia's maternal instincts are also compared to those found in nature. She not only protects her own children but all those who come to the zoo for sanctuary.

In a broader sense, Ackerman uses the zoo to symbolize the complex relationship between freedom and captivity. The animals they keep in the zoo were meant to thrive in the wild, yet most of them would not survive if they were released because they have been in captivity for too long. Ackerman draws parallels here to the human desire to thrive and be free in the face of crippling captivity and oppression. Even as the zoo represents a place of physical confinement for the animals the Żabiński family keeps, it is a sanctuary to humans. The zoo is also the only place that many of the escapees can move and act freely. In this sense, Ackerman subverts the symbolism of the zoo as a place of isolation.

`(1+0.09/12)^(12t) = 3` Solve the equation accurate to three decimal places

`(1+0.09/12)^(12t) = 3`

In solving these kind of problems we need to use the logarithm.

Take the log of both sides of the equation.

`log_(10)((1+0.09/12)^(12t)) = log_10(3)`

With logarithms we know that;

`log(a^b) = bloga`

using that rule;

`log_(10)((1+0.09/12)^(12t)) = 12tlog_10(1+0.09/12)`

`12tlog_10(1+0.09/12) = log_10(3)`

`log_10(1+0.09/12) = log_10(1.0075) = 0.003245`

`log_10 (3) = 0.4771`

`12txx0.003245 = 0.4771`

`t = 0.4771/(12xx0.00325) = 12.252`

So the answer is t = 12.252

`(1+0.09/12)^(12t) = 3`

In solving these kind of problems we need to use the logarithm.

Take the log of both sides of the equation.

`log_(10)((1+0.09/12)^(12t)) = log_10(3)`

With logarithms we know that;

`log(a^b) = bloga`

using that rule;

`log_(10)((1+0.09/12)^(12t)) = 12tlog_10(1+0.09/12)`

`12tlog_10(1+0.09/12) = log_10(3)`

`log_10(1+0.09/12) = log_10(1.0075) = 0.003245`

`log_10 (3) = 0.4771`

`12txx0.003245 = 0.4771`

`t = 0.4771/(12xx0.00325) = 12.252`

So the answer is t = 12.252

How does Conan Doyle present Holmes as a complex and unusual character in the first two chapters of "The Sign of Four"?

The Sign of Four is presented by Mary Morstan as a complex case. Holmes, being a complex man, is just the man to help solve it. In the first two chapters, Watson introduces various unusual character traits which will become familiar not just throughout the course of the book, but also in subsequent Sherlock Holmes adventures.

The story begins with Watson observing Holmes taking cocaine. He has been witnessing Holmes doing this three times a...

The Sign of Four is presented by Mary Morstan as a complex case. Holmes, being a complex man, is just the man to help solve it. In the first two chapters, Watson introduces various unusual character traits which will become familiar not just throughout the course of the book, but also in subsequent Sherlock Holmes adventures.

The story begins with Watson observing Holmes taking cocaine. He has been witnessing Holmes doing this three times a day for several months. Drug addiction was much more unusual in 19th-century England than it is today. The reason that Holmes gives for taking cocaine is also unusual; his mind "rebels at stagnation." Holmes needs to keep his mind active in order to solve such complex mysteries and regular injections of cocaine help him to do this. At the very least, he thinks it does.

Conan Doyle also allows us to marvel at Holmes's incredible powers of observation, as displayed in his brilliant deduction about the background history of the pocket watch belonging to Watson. Holmes correctly deduces that the watch once belonged to Watson's alcoholic brother from a simple examination of scratch marks and grooves.

It is here we see another character trait of Holmes that marks him out from the rest of humanity: a certain cold-bloodedness. When Holmes reveals the provenance of Watson's pocket watch, Watson is rather offended. Holmes means no offense; he is merely exercising his capacity for abstract logic to the utmost.

In chapter 2 we see this characteristic of Holmes when he is introduced to the comely Miss Morstan. After she presents Holmes with the facts of the case, Watson immediately observes how attractive the young lady is. Holmes, however, claims not to have noticed as he casually lights a pipe and sits back in his chair.

An exasperated Watson rebukes Holmes, describing him as an "automaton," and a "calculating machine"; indeed, there is something "positively inhuman" about him. Perhaps Watson is being a little harsh; however, we can still accept that Sherlock Holmes is no ordinary human being, as Conan Doyle makes perfectly clear in the first two chapters of The Sign of Four.

In the movie Fight Club by David Fincher, the protagonist has Dissociative Identity Disorder. Can anyone out there give examples of how this movie...

Dissociative Identity Disorder (DID) used to be referred to as Multiple Personality Disorder (MPD), but was renamed when psychologists realized that DID was more accurately causing a fragment or fracture in an individual's sense of self, rather than growing secondary or new personalities (as MPD implies).

Much of the way Tyler Durden's DID is portrayed in Fight Club is largely accurate, according to the National Institute of Mental Health.

• He experiences two distinct and separate...

Dissociative Identity Disorder (DID) used to be referred to as Multiple Personality Disorder (MPD), but was renamed when psychologists realized that DID was more accurately causing a fragment or fracture in an individual's sense of self, rather than growing secondary or new personalities (as MPD implies).

Much of the way Tyler Durden's DID is portrayed in Fight Club is largely accurate, according to the National Institute of Mental Health.

• He experiences two distinct and separate identities.


• 
  The disruption in identity involves a change in sense of self, sense of agency, and changes in behavior, consciousness, memory, perception, cognition, and motor functions. ("I look like you want to look, I fuck like you want to fuck, I am smart, capable, and most importantly, I am free in all the ways that you are not.")


• 
  Frequent gaps are found in memories of personal history, including people, places, and events, for both the distant and recent past. (Edward Norton's character has either absent or inaccurate memories of Fight Club and Operation Mayhem.)


• 
  These symptoms cause clinically significant distress or impairment in social, occupational, or other important areas of functioning (this is well played out in the final confrontation between the two). 

One key difference is that Edward Norton's character did not seem to experience any significant childhood trauma, which is noted as one of the leading causes of DID. The implication here is that the culture of consumerism enacts that trauma on all American men. However, this is where the narrative philosophy of the film (and book) does start to stray from psychology. It also somewhat makes the condition seem "cool" by giving Edward Norton's character a sexy anarchist gangster as his alter-ego, possibly downplaying the remarkably difficult struggle it is to live with DID. 

What were the key social, economic, and political changes over time from the 1770s to the 1860s? In my paper, I want to take into account the idea...

There were many social, political, and economic changes in the period from the American Revolution to the Civil War (1770s to 1860s). You might want to focus your thesis on the argument over the size of the federal government as the country's economy was undergoing the market revolution and the first wave of the Industrial Revolution and the country was becoming an economic and military power.

The argument over the power of the federal government...

There were many social, political, and economic changes in the period from the American Revolution to the Civil War (1770s to 1860s). You might want to focus your thesis on the argument over the size of the federal government as the country's economy was undergoing the market revolution and the first wave of the Industrial Revolution and the country was becoming an economic and military power.

The argument over the power of the federal government went back to the period of ratifying the Constitution and the debate between Federalists and anti-Federalists (the Anti-Federalists later became the Democratic-Republicans and then the Democrats, while the Federalists later became the Whigs and then the Republicans).

If you divide your paper into three body paragraphs--economic, social, and political divisions and developments--you can speak about the political debates between the Federalists, who wanted a strong federal government (as did their successors), and the Anti-federalists, who were proponents of states' rights. Economically, the Federalists embraced the market revolution and the first wave of the Industrial Revolution, while the Anti-federalists, such as Jefferson, wanted a return to agrarianism. Socially, the Federalists were composed of industrialists in the Northeast and along the coast, while the Anti-federalists and their later political incarnations (that is, the political parties that grew from them in time) were largely composed of farmers, small artisans, and working people. The parties were divided over many issues, including whether the U.S. should expand (an idea generally supported by the Democratic-Republicans and their later incarnations and opposed by the Federalists and their later incarnations). In each paragraph, you can incorporate documents such as the Federalist Papers (if you have read that) and other sources from your coursework.  

What evidence is there that the boss is not a working man?

In Of Mice and Men, there is lots of evidence to suggest that the boss is not a working man. When he makes an appearance in chapter 2, for example, his physical description suggests that he does not do any physical work. He is "fat-legged," for example, and carries a time book in his pocket. These details suggest that he spends most of his time in an office and not out working the land.

...

In Of Mice and Men, there is lots of evidence to suggest that the boss is not a working man. When he makes an appearance in chapter 2, for example, his physical description suggests that he does not do any physical work. He is "fat-legged," for example, and carries a time book in his pocket. These details suggest that he spends most of his time in an office and not out working the land.

In addition, we also see that the boss is not a working man through the questions he asks George. By questioning whether George is taking a cut of Lennie's pay, for example, Steinbeck makes it clear that the boss is a businessman, interested only in hard cash and profits; he is not the sort of person who works the land.

Finally, another piece of evidence comes from the previous Christmas when the boss brought a gallon of whisky to the men. The fact that he can afford so much alcohol shows that he is a businessman, not a workingman. It also shows that he enjoys the finer things in life, the sort of things that a ranch hand could never afford.

“Competition is for Losers” The Wall Street Journal, Sept. 12, 2014. Why is it better to build a monopolist rather than a competitive...

There are several reasons why a company can profit from being a monopoly. The most obvious is that a monopoly has the ability to charge prices only limited by what the market will bear, rather than being driven by competition. In a competitive market, sellers try to undercut one another in order to generate sales. This reduces profitability, but one needs to match competitors' price reductions to maintain sales volume. Next, sales are naturally higher...

There are several reasons why a company can profit from being a monopoly. The most obvious is that a monopoly has the ability to charge prices only limited by what the market will bear, rather than being driven by competition. In a competitive market, sellers try to undercut one another in order to generate sales. This reduces profitability, but one needs to match competitors' price reductions to maintain sales volume. Next, sales are naturally higher if you monopolize a market (as opposed to splitting the market with competitors). Also, as a monopolist, you have lower costs. You can offer lower bids to suppliers, you can invest less in consumer loyalty (especially in a captive market such as a utility), and you can invest less in improving your product because you do not need to compete for market share based on features. Essentially, monopolies can charge high prices for goods it costs little to produce. Additionally, monopolies can take advantage of economies of scale. 

One important part of monopolistic practices in a digital or platform economy has to do with network effects. As more people shop on Amazon, more sellers gravitate to Amazon, attracting even more buyers. The same is true of social media sites; the more people there are on a given site, the more participants are attracted to it. 

There are, though, several arguments against monopolies. The first is obviously that they can be bad for consumers and that they can lead to corruption and rent seeking. The next is that they are vulnerable to disruptive innovation. Even worse, monopolies can become lazy and complacent, meaning that they gradually lose the ability to deal with competition when it inevitably occurs. Consumers may rebel against monopolies and may try to find ways to circumvent them, such as by going off the grid to avoid paying high utility prices, abandoning cable television and landlines for mobile phones, VOIP, and streaming services, and so on.

Are the Greasers in The Outsiders kids or criminals?

The answer to your question, of course, will depend upon your interpretation of the Greasers' words and actions. Many consider a group such as the Greasers a gang of juvenile delinquents.

However, the Greasers are an important social barometer of their time; the majority of the members come from impoverished, dysfunctional families. Ponyboy Curtis (the narrator of the story) is a Greaser, and his only biological family members are his two brothers, Sodapop and Darry....

The answer to your question, of course, will depend upon your interpretation of the Greasers' words and actions. Many consider a group such as the Greasers a gang of juvenile delinquents.

However, the Greasers are an important social barometer of their time; the majority of the members come from impoverished, dysfunctional families. Ponyboy Curtis (the narrator of the story) is a Greaser, and his only biological family members are his two brothers, Sodapop and Darry. While the brothers love each other, they often experience conflict in their domestic lives. The boys are orphaned, and Darry is the presumed father figure and family provider.

However, Darry is only 20, while Ponyboy is 14. The latter often resents what he considers his older brother's efforts to meddle in his life. However, Darry (at his wit's end himself) is merely trying to keep his family together. The other members of the Greasers gang (Johnny, Dallas, Steve, and Two-Bit) also come from dysfunctional family backgrounds. For example, Johnny suffers emotional and/or physical abuse from both his parents.

The Greasers are at odds with the Socs in the novel. The Socs are another gang, one made up of upper-middle class youths. Invariably, the Greasers fight the Socs for two reasons: they enjoy fighting, and they see it as their duty to defend themselves against attacks from the Socs. 

The one Greaser most associated with being a criminal is Dally. In the novel, Dally openly revels in his gang background from his New York City days, and he is the one who robs a convenience store after Johnny's death. No one quite knows why Dallas chooses to commit a crime, but there is every indication that he was deeply affected by Johnny's death.

So, on the surface, Dally appears to be a criminal. However, he is also an adolescent. In his short life, he has never learned constructive ways to process his grief and anger, and he has never envisioned a different life for himself (one beyond the criminal world). So, is Dally a criminal or just a kid? It really does depend upon your perspective and how you think we should treat kids who commit criminal acts.

How were early Christians viewed by non-Christian Roman authors and why? How can I start a research paper on this topic?

Your starting point in your essay should be to mention that from the Roman point of view, early Christianity was simply a minor offshoot of Judaism. It was not particularly important and thus gets very little attention. Christianity tended to be regarded as a rather secretive and fanatical cult, and garbled descriptions of the Eucharist led some Romans to consider them cannibals. The main concern was that because they refused to offer even a single pinch of incense to the imperial cult, they were possible rebels or traitors, something of far greater concern in the religiously diverse Roman Empire than their theology. The main sources are:

Josephus' Antiquities of the Jews, (93–94 AD): This discusses Jesus as a teacher and miracle worker who was crucified by Pontius Pilate.

Tacitus's Annals (116 AD) refer to "Christus" being killed by Pontius Pilate. He sees the Christians as one of many cults and superstitions that arose in the period and argues that persecution caused the religion to spread.

Lucian of Samosata (c. 115–200 C.E.) writes about Christianity satirically in The Passing of Peregrinus. The work satirizes credulity and superstition in general. The most distinct feature of Christianity he mentions is that because Christians believe themselves immortal, they seem almost actively to seek out death.

Pliny (112 AD letter to Trajan): In his correspondence with Trajan, Pliny is concerned about how to treat Christians brought before him for breaking the law. He describes them as stubborn but basically harmless and is mainly concerned with balancing mercy with a need to discourage rebellion.

Suetonius (c. AD 69 – c. AD 122) in Lives of the Twelve Caesars has two sentences which seem to indicate that he thought someone named Chrestus was associated with a group of rebellious Jews. 

In respect to globalization, how has your global perspective been expanded over the past several years, and what has caused that expansion?

Our global perspective has expanded over the years for a variety of reasons. One way that our global perspective has expanded is with the growth of businesses beyond our borders. We are realizing that we must be competitive internationally. This has become painfully clear, as companies have moved jobs overseas to save on labor costs. Workers in some other countries, such as Mexico, China, and India, are paid less than American workers. This has led...

Our global perspective has expanded over the years for a variety of reasons. One way that our global perspective has expanded is with the growth of businesses beyond our borders. We are realizing that we must be competitive internationally. This has become painfully clear, as companies have moved jobs overseas to save on labor costs. Workers in some other countries, such as Mexico, China, and India, are paid less than American workers. This has led to jobs being shipped overseas, and/ or American workers having to take pay and benefit cuts. It also means our calls to customer service or technical support centers may not be handled in the United States.

Another example of our expanding global perspective can be seen in the increase in the number of terrorist attacks throughout the world. Many of these recent attacks have occurred in places that normally haven’t experienced these attacks. France, Belgium, and Germany are some countries where these attacks have occurred. These recent attacks have required our government and the American people to be very vigilant because these attacks could occur here in the future. The attacks on September 11, 2001, in New York, Washington, D.C., and Shanksville, Pennsylvania made us realize we are vulnerable to possible terrorist attacks. The recent attacks have reminded us of this vulnerability. Fighting terrorism will take a global effort.

The impact of civil wars in other countries has also expanded our global perspective. We realize these conflicts create issues with refugees who want to come here to escape the strife in their homelands. We need to develop policies about how to handle these refugees. We also need to try to prevent the conditions that often help lead to the outbreak of civil wars. The issue with the Syrian refugees is one we are currently trying to face.

Finally, as we try to take actions to protect our environment, we realize this must be a global effort. Some countries have less restrictive rules regarding pollution. We are trying to work together with other countries to deal with issues such as global warming and pollution control. As the global climate changes, it will have an impact throughout the world. Global cooperation is needed to deal with these issues.

How did the Roman Catholic Church control daily life in medieval Europe?

The church was at the crux of people's lives in medieval Europe. People not only attended regular worship services at the church but also marked important events, such as baptisms, confirmations, weddings, and funerals, at the church. Most holidays were saints' days and were also religious in nature, and people's beliefs about life, death, sin, and the afterlife were largely determined by the church.

The church played a major role in the economy of medieval...

The church was at the crux of people's lives in medieval Europe. People not only attended regular worship services at the church but also marked important events, such as baptisms, confirmations, weddings, and funerals, at the church. Most holidays were saints' days and were also religious in nature, and people's beliefs about life, death, sin, and the afterlife were largely determined by the church.

The church played a major role in the economy of medieval Europe; the church was a major landowner, and many peasants worked land that belonged to the church. In addition, people were required to pay one-tenth of their income, called a tithe, to the church, and many of these payments were made in animals or grain, which were stored in tithe barns owned by the church.

Cathedrals, constructed in cities, were the sites of the first universities, and monasteries (referred to as part of the "regular church," as opposed to the "secular church" where people worshipped) were the site of schools. Many great universities in Europe, including the Sorbonne in France, originally developed as schools associated with cathedrals. In addition, the church held political power, and technically, the Pope could even excommunicate kings and queens if they went against his dictates. Therefore, the church had a major political, social, and economic role in people's lives during medieval times.

What effect did the Venezuela crisis have on Anglo-American (Britain and U.S.) relations in the short term and long term?

The crisis of 1895 came about as the result of a seemingly minor territorial dispute between Great Britain and Venezuela. Initially, the United States under President Cleveland was unwilling to intervene, despite repeated requests to do so from the Venezuelan government. Domestic opinion in the United States was also hostile to British actions as they were thought to be in clear contravention of the Monroe Doctrine, which famously opposed any colonialist expansion in the Americas.

...

The crisis of 1895 came about as the result of a seemingly minor territorial dispute between Great Britain and Venezuela. Initially, the United States under President Cleveland was unwilling to intervene, despite repeated requests to do so from the Venezuelan government. Domestic opinion in the United States was also hostile to British actions as they were thought to be in clear contravention of the Monroe Doctrine, which famously opposed any colonialist expansion in the Americas.

Under pressure from Congress, Cleveland signed into law an act recommending that a settlement be reached by means of arbitration. The British, however, wouldn't budge and Anglo-American relations suffered a short-term lull. Cleveland, for his part, was caught between those in his cabinet and in Congress who thought he was insufficiently robust in defending the Monroe Doctrine and those who believed that, if anything, he'd been too belligerent.

Cleveland's public posture became increasingly bellicose, but in truth neither his administration nor the British government ever seriously entertained the prospect of war. His public stance was largely for domestic political consumption, and his actions spoke otherwise. By setting up a commission to look into the dispute Cleveland expertly took the heat out of an increasingly tense diplomatic situation.

Both the short and long-term consequences of the crisis were largely beneficial to Anglo-American relations. In the short-term the British received a fairly generous settlement as a result of the arbitration process. (Although the Venezuelans felt humiliated by the outcome.) In the long-term a tacit understanding developed between the United States and Great Britain about their respective spheres of interest. The Venezuelan crisis essentially put the Monroe Doctrine into effect by way of an increasingly active foreign policy. At the same time, this allowed Great Britain to concentrate on running its already enormous empire. By keeping the two great English-speaking nations apart, the resolution of the 1895 Venezuelan crisis ironically brought them closer together diplomatically.

what is the central theme in nature? Is this theme stated or implied? Explain

The central theme of Emerson's essay "Nature" is the harmony that exists between the natural world and human beings.

In "Nature", Ralph Waldo Emerson contends that man should rid himself of material cares and enjoy an original relation with the universe and experience what he calls "the sublime." (The "sublime" is closely connected to the divine.) When man's mind is open to the influence of nature, he can sense "a wild delight" as he can...

The central theme of Emerson's essay "Nature" is the harmony that exists between the natural world and human beings.

In "Nature", Ralph Waldo Emerson contends that man should rid himself of material cares and enjoy an original relation with the universe and experience what he calls "the sublime." (The "sublime" is closely connected to the divine.) When man's mind is open to the influence of nature, he can sense "a wild delight" as he can "cast off his years" and the cares of the times in which he lives. He can, then, become a child again and love the "immortal beauty" of nature, experiencing the pleasure and fulfillment that this love of nature provides. Emerson comes closest to stating his theme of the harmony of the natural world and man in his essay with this passage:

The lover of nature is he whose inward and outward senses are still truly adjusted to each other[...]. His intercourse with heaven and earth, become part of his daily food.

As a Transcendentalist, Emerson believed that people should take themselves away from their daily cares and reach a contemplative state which permits them a connection with the divine. The beautiful fields of flowers, the awe-inspiring woods, "the waving of boughs in a storm," and the magnificence of the stars produce a delight in man that inspires him and connects him with the "sublime presence." Indeed, Emerson connects man and the natural world in this experience of the sublime. For when man and nature are in harmony, "Nature always wears the colors of the spirit."

`int (x+1) / sqrt(3x^2+6x) dx` Find the indefinite integral

`int (x + 1)/sqrt(3x^2+6x) dx`

To solve, apply u-substitution method.

`u = 3x^2+6x`

`du = (6x+6)dx`

`du = 6(x + 1)dx`

`1/6du = (x +1)dx`

Expressing the integral in terms of u, it becomes

`= int 1/sqrt(3x^2 + 6x)*(x + 1)dx`

`= int 1/sqrtu *1/6 du`

`= 1/6 int1/sqrtu du`

Then, convert the radical to exponent form.

`= 1/6 int 1/u^(1/2)du`

Also, apply the negative exponent rule `a^(-m) = 1/a^m` .

`= 1/6 int u^(-1/2)...

`int (x + 1)/sqrt(3x^2+6x) dx`

To solve, apply u-substitution method.

`u = 3x^2+6x`

`du = (6x+6)dx`

`du = 6(x + 1)dx`

`1/6du = (x +1)dx`

Expressing the integral in terms of u, it becomes

`= int 1/sqrt(3x^2 + 6x)*(x + 1)dx`

`= int 1/sqrtu *1/6 du`

`= 1/6 int1/sqrtu du`

Then, convert the radical to exponent form.

`= 1/6 int 1/u^(1/2)du`

Also, apply the negative exponent rule `a^(-m) = 1/a^m` .

`= 1/6 int u^(-1/2) du`

To take the integral of this, apply the formula `int x^n dx = x^(n+1)/(n+1)+C` .

`= 1/6 *u^(1/2)/(1/2) + C`

`= 1/6 * (2u^(1/2))/1+C`

`=u^(1/2)/3+C`

`= sqrtu /3 + C`

And, substitute back `u = 3x^2+6x` .

`= sqrt(3x^2+6x) /3 + C`

Therefore, `int (x+1)/sqrt(3x^2+6x)dx = sqrt(3x^2+6x) /3 + C` .

`int 5cosx/(sin^2x+3sinx-4)dx` Use substitution and partial fractions to find the indefinite integral

`int5cos(x)/(sin^2(x)+3sin(x)-4)dx`

Take the constant out,

`=5intcos(x)/(sin^2(x)+3sin(x)-4)dx`

Now let's apply integral substitution:`u=sin(x)`

`=>du=cos(x)dx`

`=5int1/(u^2+3u-4)du`

Now to use partial fractions, denominator of the integrand needs to be factored,

Let's split the middle term,

`1/(u^2+3u-4)=1/(u^2-u+4u-4)`

`=1/(u(u-1)+4(u-1))`

`=1/((u-1)(u+4))`

Now let's write it as sum of partial fractions:

`1/((u-1)(u+4))=A/(u-1)+B/(u+4)`

Multiply the above by the LCD,

`=>1=A(u+4)+B(u-1)`

`1=Au+4A+Bu-B`

`1=(A+B)u+4A-B`

Equating the coefficients of the like terms,

`A+B=0`   -----------------------------(1)

`4A-B=1`  ----------------------------(2)

Solve the above linear equations to get the values of A...

`int5cos(x)/(sin^2(x)+3sin(x)-4)dx`

Take the constant out,

`=5intcos(x)/(sin^2(x)+3sin(x)-4)dx`

Now let's apply integral substitution:`u=sin(x)`

`=>du=cos(x)dx`

`=5int1/(u^2+3u-4)du`

Now to use partial fractions, denominator of the integrand needs to be factored,

Let's split the middle term,

`1/(u^2+3u-4)=1/(u^2-u+4u-4)`

`=1/(u(u-1)+4(u-1))`

`=1/((u-1)(u+4))`

Now let's write it as sum of partial fractions:

`1/((u-1)(u+4))=A/(u-1)+B/(u+4)`

Multiply the above by the LCD,

`=>1=A(u+4)+B(u-1)`

`1=Au+4A+Bu-B`

`1=(A+B)u+4A-B`

Equating the coefficients of the like terms,

`A+B=0`   -----------------------------(1)

`4A-B=1`  ----------------------------(2)

Solve the above linear equations to get the values of A and B,

Add equation 1 and 2,

`5A=1`

`A=1/5`

Plug the value of A in equation 1,

`1/5+B=0`

`B=-1/5`

Plug in the values of A and B in the partial fraction template,

`1/((u-1)(u+4))=(1/5)/(u-1)+(-1/5)/(u+4)`

`=1/(5(u-1))-1/(5(u+4))`

`int1/(u^2+3u-4)du=int(1/(5(u-1))-1/(5(u+4)))du`

`=int1/5(1/(u-1)-1/(u+4))du`

Take the constant out,

`=1/5int(1/(u-1)-1/(u+4))du`

Apply the sum rule,

`=1/5(int1/(u-1)du-int1/(u+4)du)`

Now use the common integral:`int1/xdx=ln|x|`

`=1/5(ln|u-1|-ln|u+4|)`

Substitute back `u=sin(x)`

`=1/5(ln|sin(x)-1|-ln|sin(x)+4|)`

`int5cos(x)/(sin^2(x)+3sin(x)-4)dx=5(1/5(ln|sin(x)-1|-ln|sin(x)+4|)`

Simplify and add a constant C to the solution,

`=ln|sin(x)-1|-ln|sin(x)+4|+C`

Who is a pivotal character in the novel March? Is the character’s purpose symbolic or persuasive? In other words, does the character function as...

One of the most important characters in March, Grace, is a symbolic character who exists to demonstrate the unjust nature of slavery. While Grace functions primarily to illustrate the themes of the novel, her presence also evokes feelings in the reader that stem both from her treatment and her own feelings about her life. 

Grace functions as a symbolic character; she's a slave who works in the house and appears to be better cared for than many others—but that clearly doesn't make her slavery just. She also serves to show clearly that despite what people like the Clements think, people of different races are equal. When John first meets Grace, Brooks writes John's thoughts:

There you are, I thought. A Negro slave, probably not even as old as I, yet with a style of address that would not shame a great peer. No one I knew at home talked like that, not even the minister. (23-24)

At first, John is only interested in Grace because as an upper-level slave, she can provide access to her master. He thinks "I learned, too, that winning over the upper servants was the first object for a gentleman of the road in pursuit of a sale" (23). She makes a positive impression on him while he's working as a traveling salesman, but that's the end of it. He's only 19 and hasn't married yet. Later, though, Grace comes to affect his life in important ways as he fights in the war and later returns home to his wife and daughters.

When Mrs. Clement, Grace's owner, describes her relationship with Grace, she indicates that she loves Grace more than her own recently-married daughter. Despite her proclaimed love for Grace, Mrs. Clement makes it clear that Grace is not a person free to pursue her own dreams or ambitions. She says:

I tell you, Mr. March, my Grace has a great deal more freedom than my daughter now enjoys. Not freedom to leave me, no; that she will never have. Grace is mine, here with me forever. She was born right here, you know. Mr. Clement gave her to me as a wedding present. Such a pretty infant. I suppose he thought I could practice my mothering skills upon her until our own children came. Who could guess that one's first essay could be so eloquent? (32)

Mrs. Clement goes on to explain that Grace is better with reading and poetry than her own daughter. Then she has a fit and makes John retrieve Grace; Grace tells John that the ailing Mrs. Clement needs to rest and sends him away.  

When John speaks to Grace later, he says that Mrs. Clement loves her like a mother. Grace responds with doubt that makes the negative relationship between the slave and the slaveowner clear: "Her voice was low, her words clipped. 'Does she so? I wouldn't know. My mother was sold south by Mr. Clement before I was one year old.' She took the basket from me" (35).

After John is caught teaching Prudence to read, Grace is whipped by Mr. Clement for his actions. This serves to turn John away from any idea that slaveowners can treat their slaves well—despite Grace's seemingly privileged position in the household, she's brutalized for the actions of others. Brooks writes:

They had laid her facedown upon a bench, her arms stretched out above her head, her two thumbs bound together and fastened to a rope that then passed the full length underneath the table and came up to bind her ankles. A wide leather strap passed over the small of her slender back and pressed her flat against the table. Below the strap, the lower part of her body was exposed, in a complete state of nature. (48)

Grace's plight and the plight of all slaves is further illustrated when it's revealed that her father is actually Mr. Clement; she refuses to leave the plantation when John insists she should, saying that she needs to stay and care for the Clements. Grace is a symbol of the brutality of slavery not only to the reader but also to John, who cries as she is whipped and later joins to fight for the Union in the Civil War. 

Despite Grace's function as a symbolic character, she still acts as a persuasive character as well. The scene where she is whipped is extremely sad and upsetting for a reader; it helps dispel the idea that the Clements are in any way kindly or misguided people. Brooks writes that "strip by strip, the lash carved into Grace's shuddering flesh" (50).

Grace's explanation of what happened to her half-brother also acts to persuade the reader to feel disgusted by slavery. She explains that he raped her—knowing they were related—and that she helped cause the accident that led to his death, saying:

"But you are not the innocent who arrived at the Clement house that long-ago spring. I think you have seen enough of evil now to understand very well how things stood. All I will say is this: that he, knowing the truth of my parentage, knowing he was my brother, committed a sin whose magnitude has ever been understood, even by savages. And do you know what the worst violation was? That I realized my father had intended just such a thing." (272)

She goes on to say that the negative things that stemmed from her defending herself against rape—her father's decline, the loss of the plantation, Annie drowning, Justice and Prudence being sold—weigh on her conscience. The reader experiences sympathy for her because those things clearly were not her fault and she was right to defend herself. Grace still lives with the guilt, though. 

While Brooks undoubtedly included Grace in the novel as a symbolic character to represent the unjust nature of slavery and to give John a personal stake in the battle for the freedom of slaves, her secondary function as a persuasive character still exists. From her introduction as a learned woman to the conclusion where she tells John to go home and create sermons that "prepare [his] neighbors to accept a world where black and white may one day stand as equals," Grace functions first as a symbol—but is still a character who inspires emotion in readers (273).

In Cofer's "American History," Eugene's mother says, "I don't know how you people do it." What does this comment explain about her attitude toward...

In Cofer's "American History," when Eugene's mother says, "I don't know how you people do it," she automatically creates an unequal relationship between Elena and herself. Whenever someone says "you people," there is a self-righteous attitude behind it. It's as though Eugene's mother looks down on Elena's Puerto Rican culture, which creates a tense situation. Even before Eugene's mom makes the "you people" comment, she asks Elena if she lives in the tenement building next...

In Cofer's "American History," when Eugene's mother says, "I don't know how you people do it," she automatically creates an unequal relationship between Elena and herself. Whenever someone says "you people," there is a self-righteous attitude behind it. It's as though Eugene's mother looks down on Elena's Puerto Rican culture, which creates a tense situation. Even before Eugene's mom makes the "you people" comment, she asks Elena if she lives in the tenement building next door. From this question, Elena feels belittled.

Based on the mother's questions and behavior, one can infer that she does not like anyone who lives in El Building. It also seems as though this mother cannot imagine living in such a building like Elena's family does. One might further conclude that either Eugene's mother looks down on people who have less financially, or she is racist and does not want her Caucasian son to be involved with a Puerto Rican girl. It's unclear, but due to such rude behavior, Eugene's mother might be prejudiced against Elena for both of the above reasons. Whatever the specifics are, Eugene's mother certainly doesn't like that Elena lives in El Building, and she doesn't allow the young girl to enter her home or become better friends with her son.

What is a summary for The Dreamer by Pam Muñoz Ryan?

The Dreameris a fictional biography of the author Pablo Neruda, the poet.  It is about a shy boy (originally named Neftali Reyes) who is born in Chile and who deals with his pessimistic father. Neftali is always dreaming and using his senses to experience poetry all around him; from the time he is very young, this is often through a "mysterious voice" he hears. The children living near Neftali always taunt him for being...

The Dreamer is a fictional biography of the author Pablo Neruda, the poet.  It is about a shy boy (originally named Neftali Reyes) who is born in Chile and who deals with his pessimistic father. Neftali is always dreaming and using his senses to experience poetry all around him; from the time he is very young, this is often through a "mysterious voice" he hears. The children living near Neftali always taunt him for being dreamy. Neftali's father ridicules him as well. Both of these things cause Neftali to doubt himself and his abilities as a poet. Luckily, Neftali's uncle and stepmother encourage him (and teach Neftali about the Mapuche tribe and the rights they deserve). "The voice" Neftali hears leads him into the rain forest, the ocean, and the Chilean rain to give him the sensory experiences he needs to become a great poet. When Neftali becomes a teenager, he finally takes on the name he is famous for: Pablo Neruda.

What types of things did English colonists do to show their disapproval of unfair British laws?

In order to protest taxation, the American colonists had many options.  One option was to boycott British goods.  This meant using tea substitutes or buying smuggled tea on the black market.  Colonial women also made their own cloth so as not to support the British textile industry.  Colonists could also bribe tax collectors or simply engage in the forbidden behavior anyway.  There were not enough British troops to hold back any colonist who wished to...

In order to protest taxation, the American colonists had many options.  One option was to boycott British goods.  This meant using tea substitutes or buying smuggled tea on the black market.  Colonial women also made their own cloth so as not to support the British textile industry.  Colonists could also bribe tax collectors or simply engage in the forbidden behavior anyway.  There were not enough British troops to hold back any colonist who wished to move west of the Proclamation Line of 1763, and many colonists settled west of the Appalachians in defiance of British law.  Colonists also wrote letters to their local newspapers protesting the tax laws and attempting to organize colonial resistance.  This was especially true of the protests against the Stamp Act, which hit the educated colonists more than any other tax.  Another more violent way of resisting British taxation policy involved destroying property or inflicting harm on tax collectors.  The most famous example of this was the Boston Tea Party, which led to the Intolerable Acts, thus putting the colonists and Parliament on a collision course.  

What is the universal idea of "I Sing the Body Electric"?

I assume this question is asking about which universal themes are present in Whitman's "I Sing the Body Electric," or about how Whitman explores the universality of the body in this poem.

For some context, Whitman was a humanist, which means that he valued freedom and agency in human beings, both as individuals and as a collective. This poem (and other poems in Leaves ofGrass) explores the physicality and the sacred qualities...

I assume this question is asking about which universal themes are present in Whitman's "I Sing the Body Electric," or about how Whitman explores the universality of the body in this poem.

For some context, Whitman was a humanist, which means that he valued freedom and agency in human beings, both as individuals and as a collective. This poem (and other poems in Leaves of Grass) explores the physicality and the sacred qualities of being a human being. Whitman tells us in part 8, "If any thing is sacred the human body is sacred..." 

One universal idea in "I Sing the Body Electric" is the idea that all bodies are equal. Through his use of lists and catalogues throughout the poem, Whitman places descriptions of many different kinds of bodies side by side. In listing these different bodies, he gives them all equal value and attention. After describing the female form, Whitman writes in part 6, "The male is not less the soul nor more, he too is in his place, / He too is all qualities, he is action and power..." He also tells us in part 6, "The man’s body is sacred and the woman’s body is sacred, / No matter who it is, it is sacred...." Whitman believes that male and female bodies are equally important. Other bodies that Whitman explores are those of farmers and of slaves, as well as the speaker's own body. He repeatedly emphasizes that these bodies are equal.

Another universal idea present in the poem is the idea that human bodies refuse neat categorization or labels. In part 2, Whitman writes: "The love of the body of man or woman balks account, the body itself balks account, / That of the male is perfect, and that of the female is perfect." Thus, Whitman tells us that even though he's about to describe the physical body, he understands, and we should understand, too, that the human body resists categorization. Whitman implies that sometimes we are unable to use language to truly capture the human body in its entirety. 

What does he mean by poetic justice?

In "The Lady, or the Tiger?," author Frank Stockton defines poetic justice as follows:

This vast amphitheater, with its encircling galleries, its mysterious vaults, and its unseen passages, was an agent of poetic justice, in which crime was punished, or virtue rewarded, by the decrees of an impartial and incorruptible chance.

This is the classic definition of poetic justice: virtue is rewarded and crime is punished.

In the story, the amphitheater is understood as the...

In "The Lady, or the Tiger?," author Frank Stockton defines poetic justice as follows:

This vast amphitheater, with its encircling galleries, its mysterious vaults, and its unseen passages, was an agent of poetic justice, in which crime was punished, or virtue rewarded, by the decrees of an impartial and incorruptible chance.

This is the classic definition of poetic justice: virtue is rewarded and crime is punished.

In the story, the amphitheater is understood as the vehicle of poetic justice. An accused criminal is put before two doors and asked to choose one. That door opens. The accused is faced with either a ravenous tiger, which eats him in front of a vast audience, or a beautiful maiden, to whom he is married with great fanfare. There is no trial, and no evidence is brought forth. In this society, every one relies on the power of poetic justice: the strong conviction that whatever is, is right. In this story, the two doors are considered a more reliable guide to justice than empirical evidence is. They are not simply considered the toss of a die but a way of ensuring that a person's guilt or innocence will expose him.

Design a poster for promoting awareness in the need for conserving nature.

While I can't exactly design a poster for you, I can definitely help you come up with some ideas! 

First things first, I would say to take a look at the area where you live. Is there any specific issue you see in your hometown in terms of conserving nature? Here are some questions you can ask yourself: 

• Are trees being cut down in my area? Has the area I live in already been deforested?...

While I can't exactly design a poster for you, I can definitely help you come up with some ideas! 

First things first, I would say to take a look at the area where you live. Is there any specific issue you see in your hometown in terms of conserving nature? Here are some questions you can ask yourself: 

• Are trees being cut down in my area? Has the area I live in already been deforested? How does deforestation affect other living things in an environment? 


• Is the area I live in affected by pollution? How does pollution have a negative effect on different types of environments? (water pollution, air pollution, etc.) 


• Are there any animals in my area that are considered an endangered species, or that are having their natural habitat destroyed? 


• Are there any natural resources in my area that humans misuse or overuse? What will this mean in the long run? 

Once you hone in on one specific subject connected to conservation of nature, you could make one image of the subject the focus point of your poster. You could also do comparisons of areas where nature has been conserved, and areas where nature has been destroyed, to create a strong visual. 

What is the relationship between genes, chromosomes, and DNA?

Let us start with DNA, and, to keep things more relatable, let us use human DNA.  Human DNA contains about 3 billion base pairs.  That is a really long code.  It would take nearly 100 years to read if you read one base pair per second for 24 hours per day.  To make things more manageable, the DNA is broken up into sections.  In humans, these sections are chromosomes, and humans have 46 total chromosomes. ...

Let us start with DNA, and, to keep things more relatable, let us use human DNA.  Human DNA contains about 3 billion base pairs.  That is a really long code.  It would take nearly 100 years to read if you read one base pair per second for 24 hours per day.  To make things more manageable, the DNA is broken up into sections.  In humans, these sections are chromosomes, and humans have 46 total chromosomes.  That means a chromosome is simply a coiled up, long section of DNA.  Each chromosome contains thousands of genes.  A gene is a specific number of base pairs that codes for a trait. As a result, a gene can be defined as either a section of a chromosome, or a gene can be defined as a specific number of DNA base pairs.  

Write an explication that includes all three of the following literary elements: theme, imagery, and symbols. Be sure to discuss all three...

Please note that actual written compositions are not completed by .

Explications de texte are 

...detailed yet relatively objective examination of structure, style, imagery, and other aspects of a work.

Explications are composed of the following:

1. A short summary of the literal content under examination


2. A description of the type of text that is used


3. The figurative devices used in the text 


4. A conclusion   [http://www.dictionary.com/browse/explication-de-texte]
   

For assistance with the summary, see the  summary.

The following is given as an aid to number 3 (figurative devices):

—The Fog

As narrator, the Chief alludes to the Fog as a means of placing the inmates of the institution under conditions in which they cannot think clearly. It seems that this fog symbolizes the effects of the drugs which the patients are given, drugs which place them in a sort of stupor in which they do not become angry or excited. Thus, they are in a medicinal fog that Bromden perceives as permeating the atmosphere of the institution. Sometime Bromden welcomes this fog that "gets thick enough that you're lost in it and can let go, and be safe again."

—Pecking Parties

According to McMurphy in Chapter Five, Nurse Ratched’s Therapeutic Community meetings are pecking parties. She has one of the men speak and then she points out a failing or weakness in him; after she does this, the other men follow her lead in criticizing him. McMurphy compares the Big Nurse's method to how chickens react when one of them is hurt and bleeding; they all attack it and peck it to death.

—Rabbits and the Wolf

In Chapter Five, Dale Harding, a very educated patient who is also weak, tells McMurphy that Nurse Ratched controls the meetings in her sadistic manner because the patients are rabbits and she is the wolf. Her nature, like that of the wolf, is predatory as she delights in exposing the men's weaknesses. Harding tells McMurphy,

She has a genius for insinuation....Did you ever hear her...accuse me of anything? Yet it seems I have been accused of a multitude of things....
The ritual of our existence is based on the strong getting stronger by devouring the weak....In defense, the rabbit becomes sly and frightened and elusive and he digs holes and hides when the wolf is about....he endures....He knows his place.

—The Combine

The Chief alludes often to the Combine, a symbol of the oppressive forces of society and those in authority. These forces are a huge conglomeration. (In agriculture a combine is a huge and formidable harvesting machine that combines the operations of at least three separate farm machines. It gathers up an entire crop and separates it into parts.)
Bromden imagines that Nurse Ratched operates this combine and he is frightened that he will become a victim of this psychological machinery that he thinks he hears behind the walls.

—McMurphy as a "comic-book Christ"

At one point Harding explains electroshock to McMurphy as much like a crucifixion:

"You are strapped to a table, shaped, ironically, like a cross, with a crown of electric sparks in place of thorns."

McMurphy certainly becomes the sacrificial victim of the institution because he brings laughter to the men as a defense against their subjugation by Nurse Ratched. She later has him given electroshock, and finally a lobotomy, an operation that renders McMurphy helpless. 

—White enamel

In Chapter 1 of Part II, Bromden describes Nurse Ratched as having a "white enamel face" that leans over her desk. It also "warps and flows" and then pulls back into shape before she comes out. This image of enamel is that of a false and impenetrable facade.

—Ice

When Nurse Ratched walks past him in the hallway where Bromden is by himself, he feels the coldness of ice where she has been. The chill that he feels is the lack of human warmth in Nurse Ratched.

—Green Seepage

The Chief narrates that when the staff congregates, there is a green fog surrounding them. Afterwards, he has to clean the "green seepage" that they leave behind on the walls and the windows, and even in the drains of the latrine. It appears to Bromden as a hazardous substance.

—Society and the Individual

Because most of the patients have voluntarily committed themselves, it is apparent that they are in conflict with a society that they feel represses them in various ways.

Society is like a machine that is unconcerned with the individual; the Chief alludes to the Combine that gathers everyone and places them all together in conformity.

—Insanity and Sanity

Apparently, there are conflicting definitions of insanity. For example, Chief Bromden has been diagnosed as schizophrenic, but his thinking does not seem unclear, and he is certainly aware of the personalities of others. For instance, his evaluation of Nurse Ratched is fairly accurate.

In this novel Kesey questions what society considers sanity because in his narrative he presents nonconformity as a form of insanity:

...society's definition of "madness" as something used by an authoritarian culture to dehumanize the individual and replace it with an automaton that dwells in a safe, blind conformity.

—Christ-like Death and Redemption

McMurphy's sacrificial death to institutionalization and conformity redeems Bromden, who then has the courage to break out of the institution and renew his freedom and no longer be "a robot."

What are the roles of management in a company?

Management is comprised of a body of managers or a group of individuals responsible for providing leadership to various departments in a company.

Management has several roles in a company, but their six main roles include planning, organizing, staffing, leading, motivating, and controlling.

Planning- Management is responsible for defining the objectives of the company for each financial or operational period of the year. Simply, based on historical data from previous years of operation...

Management is comprised of a body of managers or a group of individuals responsible for providing leadership to various departments in a company.

Management has several roles in a company, but their six main roles include planning, organizing, staffing, leading, motivating, and controlling.

Planning - Management is responsible for defining the objectives of the company for each financial or operational period of the year. Simply, based on historical data from previous years of operation or data collected from market research, management creates achievable targets for the next financial or operational period of the business.

Organizing - After the quarterly and/or annual objectives have been defined, management delegates duties amongst employees and sets targets for each department. This is to ensure that all employees in each department are working collectively in the attainment of the company's objectives.

Staffing - Once an employee needs to be hired or fired the Human Resource manager will see to it that this is done. Staffing of departments also involves the issuance of memos, checking of attendance and punctuality, ensuring that all required documents are in an employee's file,  the training of new employees in some specialized operations of the company, and the training of existing employees in new skills.

Leading - Management, thereafter, monitors the progress of each department in attaining these targets and provides leadership where necessary. Leadership can take the form of rewarding or demoting an employee as well as providing feedback to employees on previously completed tasks.  

Motivating - Management recognizes that motivated employees usually have higher productivity levels. Therefore, managers typically try to keep the workers motivated with both monetary and non-monetary incentives such as bonuses, health insurance, scholarships for employees' children and vacation days.

Controlling - Most importantly, management controls the operations of the company. Management should be flexible to facilitate the revision of plans if it is realized that outlined objectives are no longer attainable in order to control company costs and prevent the wasting of company resources. Control by management also involves the maintenance of standards in product quality and operations.

I need help with a two-part assignment. 1. Does Socrates teach anything of his own in the Euthyphro? What textual proof can you offer to support...

The first question is itself somewhat problematic. If you read the Euthyphro, you will note that the method of the dialogue seems to be one of offering up a series of questions and tentative solutions. The tentative solutions are then examined and rejected. Thus while Socrates examines many different definitions of piety, he does not set forth any single definition as dogma. The dialogue ends with an aporia, as can be seen in...

The first question is itself somewhat problematic. If you read the Euthyphro, you will note that the method of the dialogue seems to be one of offering up a series of questions and tentative solutions. The tentative solutions are then examined and rejected. Thus while Socrates examines many different definitions of piety, he does not set forth any single definition as dogma. The dialogue ends with an aporia, as can be seen in the final statement "Then we must begin again and ask, What is piety?" Of the ideas examined, of course, many are original. One of the most interesting aspects of the dialogue is that it probably is the first example of a Greek text to use the term "ousia" to mean "essence". Although the nature of piety itself is not resolved in the dialogue, one can answer that the distinction between essence and "not-essence" (accident) is established and not refuted; thus Socrates could be said to teach philosophical method in his call for definitions to reflect the ousia of what is being defined. 

The second definition of piety is that it is what is pleasing to the gods. Socrates refutes this with the observation that different things please different gods. For example, chastity pleases Artemis but not Aphrodite. 

What are passages in Harper Lee's To Kill a Mockingbird that show Atticus teaching his kids the right things to do?

In Harper Lee's To Kill a Mockingbird, one of the most important lessons Atticus teaches his children is seen in the following speech he makes early in the novel:

You never really understand a person until you consider things from his point of view-- ... --until you climb into his skin and walk around in it. (Ch. 3)

Atticus makes this statement to Scout when she complains about her disappointing first day of school....

In Harper Lee's To Kill a Mockingbird, one of the most important lessons Atticus teaches his children is seen in the following speech he makes early in the novel:

You never really understand a person until you consider things from his point of view-- ... --until you climb into his skin and walk around in it. (Ch. 3)

Atticus makes this statement to Scout when she complains about her disappointing first day of school. His point is to explain to Scout that had she seen things from Miss Caroline's perspective, as a person brand new to Maycomb, Scout may have annoyed her by trying to immediately teach her all the ways of Maycomb. What's more, had Scout seen things from Walter Cunningham's perspective, Scout would not have blamed him for her own embarrassment. This is a lesson Scout takes to heart all throughout the book. We especially see the lesson make its full impact in the final chapter after she had walked Arthur (Boo) Radley back home and stood on his porch thinking of the ways in which he observed the world, especially the children he cared for.

A second valuable and famous lesson Atticus gives his children is seen the moment he gives his children air-rifles for Christmas. Atticus says to Jem, "I'd rather you shot at tine cans in the back yard, but I know you'll go after birds. Shoot all the bluejays you want, if you can hit 'em, but remember it's a sin to kill a mockingbird" (Ch. 9). In this very simple speech, Atticus speaks of the value of life. But, more importantly, his speech relays a dominant theme in the book: There are things and people in this world who are innocent and only serve to give us pleasure, and its a sin to kill or torment any of those innocent beings though they are sadly being killed and tormented all the time.

What is the importance of fat in soap? Give the levels of soap, depending on the fat's level. |

The use of fat in the soap-making process is required to produce soap.  Simply put, it is one of the integral parts that produce soap.  The fat can be animal fat or vegetable fat.  Animal fats tend to be solid at room temperature, they have to be heated to melt them.  The fat is then combined with a potash solution in a process called "saponification".  Heat is continually applied and the mixture has to be...

The use of fat in the soap-making process is required to produce soap.  Simply put, it is one of the integral parts that produce soap.  The fat can be animal fat or vegetable fat.  Animal fats tend to be solid at room temperature, they have to be heated to melt them.  The fat is then combined with a potash solution in a process called "saponification".  Heat is continually applied and the mixture has to be constantly stirred, as oil and water do not naturally mix.  As the soap is produced, it will rise to the surface, where it can be skimmed off.  A fragrance and color can then be applied at this point.  The soap is poured into molds and allowed to cure, or dry.  The different levels of soap depend on the type of fat used and the amount of unsaponified fat present.  Lye--which is highly toxic before successful saponification--made from the remains of burned wood, or wood ash, produce a softer soap product.  Commercial lye tends to take soap the other way, producing a hard soap product that is more in line with traditional soap-making methods.  Today, soaps are generally made (if not exclusively made) from fat substitutes such as coconut oil, palm oil, olive oil and shea butter.