Notes

In “The Contents of the Dead Man’s Pocket,” Jack Finney is teaching an important life lesson about choosing priorities. In the exposition, Tom Benecke chose working to get a promotion at work over an enjoyable evening with his wife. Although he is attracted to his beautiful young wife, he is driven to make a name for himself in the grocery industry with the hope of reaping the benefits of the work in future. He even jokes with his wife about how she will enjoy the increase in salary he expects to get for his work. She nodded, accepting this. Then, glancing at the desk across the living room, she said, "You work too much, though, Tom—and too hard." He smiled. "You won't mind though, will you, when the money comes rolling in and I'm known as the Boy Wizard of Wholesale Groceries?" "I guess not." She smiled and turned back toward the bedroom. It is only after Tom faces a life or death situation on the ledge that he sees the flaw in his reasoning. By p...

Atticus is not only a respected lawyer, but he is also a popular state representative who is continually re-elected without opposition. His defiant stance against Macomb's racial prejudice positively influences the African American community by giving them a sense of hope for future equality and change. Having such a prominent member of Maycomb's community support an African American man and openly challenge centuries-old racist ideologies provides the African American community with optimism and pride. As an oppressed part of society, they sympathize with Atticus' difficult situation. They understand that Atticus is putting himself and his family in danger by defending Tom Robinson. By having the relentless support of a respected white man, the African American community is making steps towards desegregation and equality. Also, Atticus is unashamed to let his children attend First Purchase African M.E., which helps bridge the gap between the white and black communities....

An allusion is a reference to a well known person, place, event, literary work, or work of art. There are three important allusions in Ray Bradbury's short story "There Will Come Soft Rains." First, Bradbury alludes to the atomic bomb blast at Hiroshima in 1945 when he reveals that the images of four people and a ball have been imprinted in charcoal on one wall of the automated house: The entire west face of the house was black, save for five places. Here the silhouette in paint of a man mowing a lawn. Here, as in a photograph, a woman bent to pick flowers. Still farther over, their images burned on wood in one titanic instant, a small boy, hands flung into the air; higher up, the image of a thrown ball, and opposite him a girl, hands raised to catch a ball which never came down. Photographs of these types of images were taken in the aftermath of the attack on Hiroshima. Bradbury also alludes to Hiroshima by making the date August 5, 2026. The date of the original bombing...

The formula of arc length of a parametric equation on the interval `alt=tlt=b` is: `L = int_a^b sqrt((dx/dt)^2+(dy/dt)^2) dt` The given parametric equation is: `x=3t + 5` `y=7 - 2t` The derivative of x and y are: `dx/dt = 3` `dy/dt = -2` So the integral needed to compute the arc length of the given parametric equation on the interval `-1lt=tlt=3` is: `L = int_(-1)^3 sqrt(3^2+(-2)^2) dt` The simplified form of the integral is: `L = int_(-1)^3 sqrt13 dt` Evaluating this yields: `L = sqrt13t `  `|_(-1)^3` `L = sqrt(13)*3 - sqrt13*(-1)` `L=3sqrt13 + sqrt13` `L=4sqrt13` Therefore, the arc length of the curve is `4sqrt13` units.

Ah, but does Travis kill Eckels? We only know that the final “sound of thunder” is probably a gunshot. Travis could kill Eckels. Or he could kill himself. Obviously, Eckels accidentally changes the future when he steps off the path and onto a butterfly. He has been told the rules and the need for them to be followed. But the dinosaur so terrifies him, that he is lucky enough to even make it back to safety of the time machine. The group cannot go back and repair the damage he has done. And now people have to live with a dictator as a president, instead of a compassionate leader. Someone has to pay the price for the mistake. If Travis kills Eckels, he’s issuing the ultimate penalty for the man’s blunder. If Travis kills himself, he won’t have to live under this new regime, and he won’t have to answer to authorities about the fault of Time Safari to use time travel wisely. But Eckels, in turn, would have to live with his mistake. Which fate would be worse?

Considered by most readers to be a novella rather than a short story, since it's almost a hundred pages long, "Leaf Storm" takes its title from the "storm" (or sudden influx) of workers and companies in the banana business who seem to flutter in all at once and take over the town of Macondo, drastically changing the landscape of its economy and social structure before leaving just as suddenly as it arrived, causing more devastation and instability to the town. So while there is no truly literal leaf other than the leaves on the banana trees , the "leaf" in the title can be interpreted most simply as any investor, worker, or company who blew into town to take advantage of the banana boom . Imagine these folks like wispy little insubstantial leaves: they fly in, in great quantities, and make a chaotic mess. You can also consider how the multiple voices that narrate the novella are their own "leaf storm," or that the nature of the conflict in th...

At the beginning of the story, the narrator seems to associate night with his feelings for Mangan's sister. If the night brings him happiness, it's because that's the time of day when he gets to see her. When it is "dusk" and the street lamps are lit, the children play in the dark, pretending, hiding, and running around. Sometimes, Mangan's sister comes out to look for her brother, "her figure defined by the light" of the doorway. When Mangan's sister finally does speak to the narrator, the light from a lamp "caught the white curve of her neck, lit up her hair that rested there and, falling, lit up the hand upon the railing."  She appears to the narrator like a dream, in part, because of the way the light sets her apart from the darkness, and, as a result, the darkness that makes their interaction possible makes him happy. By the end of the story, however, the darkness at the bazaar shows the narrator just how little the world cares abo...

After Charlotte is left alone near the entrance of the hold, a frightening occurence happens: a "grinning head" appears through the entrance to the hold, and Charlotte's candle goes out, plunging her into complete darkness. Charlotte bravely climbs down into the hold to investigate, and finds a hideous carving of a "humanlike face" that had been placed down there to scare her. Despite her relief that she is not in any immediate danger, Charlotte is still concerned that someone is willing to play such a cruel trick on her... Could these tricks only get worse as the journey continues?  Charlotte knows that Captain Jaggery has requested that she tell him if she notices anything "untoward" happening on the ship; however she decides that reporting this mysterious incident to Jaggery would result in him perceiving her as "a sorry, troublesome child," which is the last thing Charlotte wants to be labeled as. Charlotte is determined to stay on the ...

Given , `y^2=4-x , x = 0` =>`x=4-y^2 , x=0` first let us find the total area of the bounded by the curves. so we shall proceed as follows `x=4-y^2 ,x=0` =>` 4-y^2=0` => `y^2 -4 =0` =>` (y-2)(y+2)=0` so `y=+-2` the the area of the region is = `int _-2 ^2 ((4-y^2)-0 ) dy` =>`int _-2 ^2 (4-y^2) dy` =`[4y-y^3/3] _-2 ^2` =`[ [8-8/3]-[-8 -(-8)/3]]` =`[[8-8/3]+[8 +(-8)/3]] = (16-16/3)=(2*16)/3=32/3` So now we have  to find the vertical line that splits the region into two regions with area `16/3` as it is half of area of region covered by two curves `y^2=4-x ` and `x=0.` as when the line x=a intersects the curve `x=4-y^2` then the area bounded is `16/3` ,so let us solve this as follows first we shall find the intersecting points as , `4-y^2=a` `4-a=y^2` `y=+-sqrt(4-a)` so the area bound by these curves `x=a` and `x=4-y^2 ` is as follows A= `int _-sqrt(4-a) ^sqrt(4-a) (4-y^2-a)dy = 16/3` => `int _-sqrt(4-a) ^sqrt(4-a)(4-y^2-a)dy=16/3` => `[(4-a)(y)-y^3/3]_-sqrt(4-a) ^sqrt(...

The answer to this is quite simple (at least to anyone who has spent time on a farm). A heifer is an adult female bovine that has not yet given birth to a calf. Usually a heifer is about one year old, at which point they are bred with a bull (not a steer, which has been castrated, or neutered). A heifer becomes a cow once she has given birth. A calf, of course, is a juvenile bovine, male or female. Sometime usually after their first birthday, a male calf is either castrated (at which point it becomes a steer, usually used for beef) or allowed to develop for breeding (as a bull). Cows are used for breeding but are also of course used on dairy farms. To find information on how cattle are raised, you should take a look at a university agricultural extension department. These exist to provide information for farmers and others. I have linked to a couple of these sites below.

Given to solve, `int (tan^2 x )/(sec^5 x) dx` =`int (sin^2 x )(cos^3 x )dx` = `int sin^2 x * cos^2 x * cosx dx` = `int sin^2 x * (1-sin^2(x) )*cosx dx` let `u=sinx => du =cosx dx` so ,  `int sin^2 x * (1-sin^2(x) )*cosx dx` =`int u^2 * (1-u^2) du` = `int u^2 -u^4 du` = `(u^3)/3 - (u^5)/5 +c` = `(sin^3 (x))/3 -(sin^5 (x))/5 +c`

Recall that indefinite integral follows `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x) ` as the antiderivative of `f(x)` `C` as the constant of integration.  For the given  integral problem: `int 2x^3 cos(x^2) dx` , we may apply apply u-substitution by letting:  `u = x^2` then `du =2x dx` . Note that `x^3 =x^2 *x `  then `2x^3 dx = 2*x^2 *x dx` or `x^2 * 2x dx` The integral becomes: `int 2x^3 cos(x^2) dx =int x^2 *cos(x^2) *2x dx`                                    `= int u cos(u) du` Apply formula of integration by parts : `int f*g'=f*g - int g*f'` . Let: `f =u` then `f' =du`        `g' =cos(u) du` then `g=sin(u)` Note: From the table of integrals , we have `int cos(x) dx =sin(x) +C` . `int u *cos(u) du = u*sin(u) -int sin(u) du`                             `= usin(u) -(-cos(u)) +C`                             `= usin(u) + cos(u)+C` Plug-in `u = x^2` on  `usin(u) + cos(u)+C` , we get the complete indefinite integral as: `int 2x^3 cos(x^2) dx ...

In the poem "Jacob Goodpasture" by Edgar Lee Masters, we hear the voice of an old father mourning the loss of his soldier son. At the opening of the poem, Goodpasture mentions Fort Sumter and "the war," referring to the start of the US Civil War in the 1860s. Goodpasture mourns the loss of the "republic" - the united nation - and is bitter about its division. We can tell from these comments, and from his calling the war "unjust" that he does not support the war cause. Jacob Goodpasture also mourns the loss of his "soldier son" who died in battle. Though the son is buried to the "call of trumpets and the sound of drums" - which suggests he died honorably and is being honored with a military funeral - Goodpasture's heart is broken since his son died in this unjust war. The poem even suggests that Goodpasture died of this grief (he is 80 years old when his son is buried) since he "crept here under the grass" after h...

When the scarlet ibis lands in "the bleeding tree," only Doodle is extremely concerned; the others are rather matter-of-fact or unconcerned in their remarks. Even when the ibis dies, they do not let this incident upset their routine. As the family sits at the dinner table on a hot day, they have all the windows and even the doors open in case a breeze might blow through the house and cool them. Because it is so quiet outside, Daddy remarks that he would not be surprised if a storm comes in the afternoon. Suddenly, they all hear a bizarre noise in the yard; it is an odd croaking sound. "What's that?" whispers Doodle. The narrator jumps up so quickly that he topples his chair; his mother instructs him to set it aright and then ask to be excused from the table. But, in the time that he obeys his mother, Doodle has excused himself and is in the yard, "looking up into the bleeding tree." Doodle calls to everyone, "It's a great big red bird!" T...

When Banquo and Macbeth discuss Banquo's travel plans as well as the former king's sons, Malcolm and Donalbain, they are at Macbeth's home at Dunsinane.   Macbeth's home when he was Thane of Glamis was in Inverness, but when he becomes king, he moves to the fortress at Dunsinane.  It is here where he hosts a banquet for all his nobles, except for Macduff (who has tacitly refused the invitation) and Banquo (who Macbeth has had murdered).  It is also here where he is killed by Macduff and where Malcolm is declared the new king of Scotland, as his father intended he should be.  During the conversation you cite, Macbeth complains to Banquo that he's heard rumors that Duncan's sons have been abroad, inventing stories about how their father died.  

One scene in The   Secret Life of Bees in which racial stereotypes are broken is the episode in which Lily shows Rosaleen the black-skinned statue of Virgin Mary: "I could tell it was having an effect on her by the way she kept gazing at it with her mouth parted. I could read her thought: If Jesus' mother is black, how come we only know about the white Mary? This would be like women finding out Jesus had had a twin sister who'd gotten half God's genes but none of the glory" (page 80).  In this scene, even Rosaleen, who is African-American, is surprised that the Virgin Mary is African-American, as Mary is usually portrayed as white. Lily likens this recognition to the idea that Jesus had a twin sister, as women, like African-Americans, have largely been left out legends of religious glory (except as mothers like Mary). In this scene, Lily's ideas about the Virgin Mary challenge racial and gender stereotypes. The book also challenges gender stereotypes. Lily fe...

I think the hardest part of engaging with an assignment like this is choosing an appropriate passage. With an entire novel in front of you, how do you choose the right one? First, let's clarify what a "passage" is: normally it is not longer than a page in length, maybe a paragraph or two. Since some novels may have many short paragraphs, a "passage" could easily be made up of several paragraphs. A passage will be recognizable by its format, too: extra space will usually appear, even if there is not a whole new chapter. So, given that, the best way to choose a passage from this novel for your assignment is to find one that speaks to your own interests, and what it is about the novel that interests you. Then you will need to address each of the specific components of the assignment for this analysis: describe the content of the passage in terms of its relationship to the plot, discuss its context (this could relate to a point of view, a treatment of time, an attit...

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 a...

In both the film and the novel, most of the characters in The Outsiders conform to types. For example, Two-Bit is the wise guy, eating cake for breakfast and watching cartoons in the film. Likewise, Ponyboy is the dreamer, Darry is the leader, Dally is the tough one, etc. Characters like Two-Bit, Soda, Steve, and arguably even Dally, are static. There are some dynamic characters in the book as well, though. Ponyboy is definitely one of them, as he sees himself as an outsider even among the other greasers, with his good grades and love of stories. As the novel goes on, though, he finds himself connecting with other characters, like Cherry, who also loves sunsets, and Mr. Syme, who also loves literature. When Ponyboy writes what is supposed to be the novel The Outsiders , he is connecting with all the readers of that novel as well. Thus his development takes him from isolated to connected. Through his connection with Cherry, he has also begun to question the simplistic stereotypes that ...

In  The Stranger,  Albert Camus employs a particular style and techniques in order to intensify the effect of the story on the reader.  The style of narration is detached, unemotional, and almost bizarrely matter-of-fact. This is evident right from the very first line, when Meursault says (in the original French, followed by translation):  Aujourd'hui, maman est morte. Ou peut-être hier, je ne sais pas.  Mother died today. Or, maybe, yesterday: I can't be sure.  It seems very unusual for someone to report the death of his mother in such cold, clinical language. This style continues throughout the novel and has the effect of imparting a feeling of absurdity to the reader. By presenting events, thoughts, and feelings without any extra language or commentary, Camus causes the reader to feel the same sense of detached observation that Meursault feels toward the world and the people around him. Camus was primarily concerned with the meaninglessness of human existence and a sense tha...

The setting of Daphne du Maurier's short story, "The Birds," is the Cornish coast of England in autumn during the threat of Cold War in the 1950's and 1960's. This time of year is appropriate to the theme of du Maurier's story because autumn is a season that presages change from the beauty and calm of the fullness of the year to a time of death with winter. At this time of the year, the birds are restless as the sea gulls run on the beaches and sandpipers scurry back and forth. Both seem to feel an "impulse to flight." The restless urge of autumn, unsatisfying, sad, had put a spell upon them and they must flock, and wheel, and cry; they must spill themselves of motion before winter came. For some reason, however, the birds are more restless than ever. Perhaps, then, there is a certain pathetic fallacy with the stirrings of the Cold War. That is, as the fear of communism spreads and increases suspicion among people, perhaps nature senses this trepidat...

Given , `dy/dx = (x-3) / (y(y+4))` => `y(y+4) dy = (x-3)dx` on integrating on both sides we get => `int y(y+4) dy =int (x-3)dx` => `int ( y^2+4y )dy=int (x-3)dx` => `y^3/3 +4y^2/2+c_1=x^2/2 -3x+c_2` =>` y^3 /3 +2y^2+c_1 = x^2/2 -3x+c_2` =>` y^3 /3 +2y^2+c_1 - x^2/2 +3x-c_2=0` =>` y^3 /3 +2y^2+c_1 =  x^2/2 - 3x+c_2` =>` y^3 /3 +2y^2=  x^2/2 - 3x+C` where `C = c_2-c_1` is an arbitrary constant.  =>` y^3 +6y^2 =  3x^2/2 - 9x+C`  is the  final answer

Certainly, the weak and timorous hypochondriac, Framton Nuttel, has few, if any positive character traits; on the other hand, while Vera takes advantage of Nuttel, she does have some engaging qualities. As the tool for Saki's satire, Vera issues a clever version of shock therapy for the shrinking, whimpering Nuttel, who represents the effete society of the Edwardian period. In her fabrications, Vera points to the truth that Nuttel is a coward who contrasts greatly with Vera's uncle and cousin, who are hunters. In addition, Vera is creative and clever and amusing, although at the expense of the weaker Nuttel. Her ingenuity in contriving a story that is cloaked in the truth is impressive as well. Her acting abilities are strong also, as Mrs. Sappleton announces the arrival of her husband and son: The child was staring out through the open window with dazed horror in her eyes. Given only the choice between the weak and hysterical Framton Nuttel and the mischievous, though rather v...

"The Cask of Amontillado" builds towards a suspenseful conclusion by presenting, in a chronological way, the method that the narrator uses to get revenge on Fortunato. At the beginning of the story, the reader knows that the narrator, Montresor, seeks revenge, as he says of Fortunato, "when he ventured upon insult I vowed revenge." The reader also knows that Fortunato has what the narrator calls "a weak point"--his pride in his knowledge of wine. However, the reader does not know how Montresor will use Fortunato's weakness to get revenge. As Montresor leads Fortunato through the damp vaults and Fortunato begins to cough, Montresor attends to Fortunato with what appears to be kindness. The reader does not quite understand how Montresor will get revenge on Fortunato merely by bringing Fortunato to a vault, and Montresor is so seemingly kind to Fortunato that it seems uncertain that he will ultimately get revenge. By taking the reader through each stage o...

Using the titular story, "The Fat Man in History," and "Chance" as illustrative references for how Carey portrays feminism in the short story collection Fat Man in History (1980), it emerges that a dominant theme of his portrayal is the perception of beauty. He shows that men are comfortable with women who have grace, beauty and fragility. Finch, in "The Fat Man in History," reminisces about two women formerly in his life as being diminutive and fragile: "diminutive girls, Deidre and Anne, fragile girls with the slender arms of children." In "Chance," the narrator tries repeatedly to convince Carla to forego the Hup Chance and leave her genetic code for beauty alone. In a comment combining both his need for beauty and his disgust at ugliness, he says of her upcoming Chance appointment (appointments with six month waiting lists), "You could put it off, ... [our love] won't last if you do it." Carla responds by secretly lea...

The narrator prepares for the talent show with her teacher, Old Chong, who is deaf. She is supposed to play a song called "Pleading Child" by Schumann. Instead of memorizing the entire piece, she just plays a few bars and then daydreams. She never learns the whole piece. Mostly what she does to practice is curtsy in an elaborate way and smile to prepare for the talent show. Though she is very excited about the show, she plays a series of wrong notes because she has not practiced thoroughly and is not prepared for the talent show. After the show, she decides not to play piano anymore because she is not a prodigy, and she doesn't realize that practice is what makes someone good at playing the piano. 

In simple terms, a particle that has a positive surface charge is known as a positively charged particle. Similarly, any particle that has a negative charge on its surface is known as a negatively charged particle.  There are some fundamental particles: neutrons, protons and electrons and these make up all the atoms. Neutrons and protons are neutrally and positively charged, respectively, while an electron is negatively charged. The nucleus of an atom consists of neutrons and protons, while the electrons are found outside the nucleus. An atom is neutrally charged. However, when it loses an electron, it becomes positively charged and when it gains an electron, it becomes negatively charged. A positively charged atom is called a cation and a negatively charged atom is called an anion.  Thus, depending on the surface charge, we can classify any particle as either positively charged, neutrally charged or negatively charged. Hope this helps.

Plautus uses two framing devices at the beginning and the end of his work to remind his viewers that they are watching a play. In the two existing lines of his prologue, Plautus warns his theater-goers that his play is long and that now is the moment when they should get up and walk around: Tis better for your loins to be stretched, and for you to arise. A long play of Plautus is coming upon the stage At the end of the play, Simo asks the main character, trickster slave Pseudolus, if they should invite the audience to join them in drinking. Pseudolus says no, but asks viewers to applaud instead and invites them to the next play, showing that the characters in the play know they are performing. Plautus makes another connection with the audience when he has a slave boy address the viewers directly, worrying about how he will get the money demanded by his owner, Ballio. But most importantly, Pseudolus himself knows he is acting in a play. He addresses the audience directly and draws viewe...

There is one main advantage to reducing air resistance on a car.  The advantage is that this reduces the amount of drag on the car, thereby reducing the amount of fuel that is needed to drive the car at any particular speed and for any particular distance. When a car is driven, it converts the chemical energy in its fuel into kinetic energy (motion).  However, not all of the chemical energy in the fuel converts to kinetic energy.  Instead, some is lost to heat and some to sound.  The heat and the sound are caused by friction.  One source of friction is air resistance. If we reduce the amount of air resistance on the car, less of the chemical energy will be converted into heat and sound.  This is beneficial because, when we drive a car, we want as much of the chemical energy as possible to be converted into kinetic energy.  We do not want to waste our fuel making heat and noise.  By reducing the amount of air resistance, we improve the efficiency of our fuel usage.  We increase the dist...

This is dramatic irony. It is based on the strong contrast between what the woman keeps saying and what she actually does. The narrator is fooled into taking the woman to the expensive Foyot's restaurant because he thinks she is telling the truth when she says, "I never eat anything for luncheon." What is she thinking when she says this? She must mean that she is trying to lose weight and has been sincerely trying "not to eat anything for luncheon." She may be telling the truth, but, like many people who have a weight problem, when she actually does start eating she finds it difficult to stop. Foyot's was undoubtedly a tempting establishment full of the odors of rich food. Once the woman saw all the important people eating delicious and expensive delicacies, she could have easily have gotten carried away. Although she keeps repeating, "I never eat anything," she keeps ordering more and more. And because she really believes she is a light eater, she...

Rainbows have been there for billions of years, and people have been noticing them for the whole time there have been people (either about 200,000 years if you only include modern Homo sapiens or more like 2 million if you include some of our closest ancestors). Aristotle in 4th century BC knew that water droplets bend light, and was able to explain why the shape of a rainbow is round based on the fact that we see the light that was bent go into our eyes at the appropriate angles, but it was just a brute fact for him; he had no idea why the angles were what they were or why rainbows were in many colors. The physics behind them wasn't actually explained until the early 14th century, independently by a Persian mathematician named Kamāl al-Dīn Fārisī and a Dominican monk named Theodoric of Freiberg. Much of those discoveries were in turn lost for centuries until they were independently rediscovered by Rene Descartes in the early 17th century. What they figured out was that water's...

Paul Fisher and his brother Erik have never gotten along.  Until the end of the book, Paul can't quite remember why, but he has learned to stay away from his brother.  He considers him extremely dangerous, and often compares him to some kind of monster.   Multiple times in the book, Erik is cruel to Paul's friends when they come to his house.  Because of this, Paul doesn't have friends over often.  However, he is very excited when the members of his science project group from Tangerine Middle are coming over to work on their project.  They all are having a good time until Erik shows up.  When Erik drives up, Paul immediately panics, but he doesn't know what to do.  He describes later that he "just stared...paralyzed with fear, while the scene rolled on."   Erik walks up to them and casually says, "Look at this. I think it's great that these farm-labor kids get to spend a day away from the fields."  Erik begs Tino to just let it go, but Tino throw...

Juliet feels that names ultimately have no real meaning.  A thing is what it is, and nothing about a thing is bound up in its name; a thing still is what it is whether it is called by a particular name or not.   When she learns that the man with whom she's fallen in love at first sight is the son of her family's sworn enemy, she reflects on the fact that Romeo is many things, but he is not his name.  His name is not a part of himself, and only his name is her enemy.  After all, she ponders aloud, a rose would always smell sweet whether it is called a rose or not.  Similarly, Romeo, to her, is perfect, and his perfection has nothing whatsoever to do with his name.  She attempts to justify her feelings and attraction to this man that she knows she is supposed to hate by reasoning that his name -- which she is supposed to hate -- is not the same thing as his person (which she does not hate).

This answer is based on the assumption that you are asking about the United States Constitution. There are two ways that amendments to the Constitution can be proposed.  One way is to call a convention that would propose amendments.  Two-thirds of the states would have to ask Congress to call such a convention.  The convention would then propose whatever amendments it wanted.  This method has never been used.  The other method is to have Congress propose the amendment(s).  A member of Congress proposes an amendment.  If two-thirds of each house of Congress approves, the amendment then goes to the states to be ratified.  So, all of the amendments to the Constitution so far have originated in Congress.  Anyone may suggest an amendment, but only a member of Congress can actually officially submit one for consideration. There are also two ways in which an amendment can be approved.  Again, one method is used much more often than the other.  It is possible for every state to call a conventi...

The Epic of Gilgamesh is in a certain sense a mythical history of how Uruk came to be civilized and how kingship moved from the brute force of an unrestrained strongman to a society governed by law codes in which rulership carried obligations as well as power. We see a society in which there is a great degree of gender inequality, with women seen as having domestic and sexual roles and men ruling and engaging in hunting and warfare. Marriage is an important institution, and sleeping with another man's wife is considered wrong. Physical strength and attractiveness are admired. Society is highly stratified, and people are expected to behave in a manner appropriate to their inherited station. That includes both respect for superiors and just treatment of inferiors. It is important to respect and obey the gods, who may bring disaster upon the individual or the city if they are angered. 

Given to solve , `lim_(x->oo) x^3/e^(x^2)` upon `x` tends to` oo` we get `x^3/e^(x^2) = oo/oo` so, by applying the L'Hopital Rule we get as for the general equation it is as follows `lim_(x->a) f(x)/g(x) is = 0/0` or `(+-oo)/(+-oo)` then by using the L'Hopital Rule we get  the solution with the  below form. `lim_(x->a) (f'(x))/(g'(x))` so , now evaluating `lim_(x->oo) x^3/e^(x^2)` upon using the L'Hopital Rule =`lim_(x->oo) ((x^3)')/((e^(x^2))')` =`lim_(x->oo) (3x^2)/(e^(x^2)(2x))` =>`lim_(x->oo) (3x)/(e^(x^2)(2))` now on` x-> oo` we get `(3x)/(e^(x^2)(2)) =oo/oo` so,again by applying the L'Hopital Rule we get `lim_(x->oo) (3x)/(e^(x^2)(2))` =`lim_(x->oo) ((3x)')/((e^(x^2)(2))')` =`lim_(x->oo) (3)/(e^(x^2)(2)(2x))` =`lim_(x->oo) (3)/(e^(x^2) (4x))` now as `x-> oo` `3/(e^(x^2) (4x)) =3/(e^(oo^2) (4(oo))) =0` so `lim_(x->oo) (3)/((e^(x^2) (4x)))` `=0` now we can state that `lim_(x->oo) x^3/e^(x^2)` `=...

John Locke provides his definition of knowledge in An Essay Concerning Human Understanding, written in the late seventeenth century.  Locke believed knowledge is obtained the moment you perceive that you agree or disagree with an idea.  He described three types of knowledge.  Intuitive knowledge is not based on any immediate facts but is instead something we just know to be true.  For example, you may know that someone loves you.  You may have a direct and immediate recognition of this knowledge even though you may not be able to trace the knowledge back to one specific event.   Demonstrative knowledge is defined by Locke as knowledge obtained through a series of thoughts or chain of reasoning.  For example, you may know that Jimmy likes everything that Sally likes.  If you also know that Sally likes dogs, you can conclude through demonstrative knowledge that Jimmy will also like dogs.  Locke’s third type of knowledge is defined as sensitive knowledge.  This is when you become aware of...

Generally speaking, the setting of a story is the time and physical location.   The text of "An Occurrence at Owl Creek Bridge" never gives an actual date to the story. The reader is able to know that the story must be taking place between April 1861 and April 1865, because those are the dates of the American Civil War. Interestingly enough, Bierce's original text opened the story by stating that it took place during the summer of 1862. As for the physical location of the events in the story, the reader is told that the story happens in northern Alabama.  A man stood upon a railroad bridge in northern Alabama, looking down into the swift water twenty feet below. As the story continues, the reader learns that the bridge that Farquhar is standing on is a relatively short distance away from his plantation. In part two of the story, the Federal scout tells Farquhar that Owl Creek Bridge is "about thirty miles" from the house. "How far is it to the Owl Creek bri...

Friar Laurence is to blame for the deaths of Romeo and Juliet for three reasons. First, he never should have agreed to marry them in the first place. He did so because of his idea that their marriage might mark the end of the bitter feud between the Montagues and Capulets. The part of his plan which was missing, however, was how the couple would ultimately announce that marriage. Although his heart was certainly in the right place, his decision ignored the possibility that several things could go wrong. Second, the Friar should not have given Juliet the sleeping potion which would allow her to fake her death. While his plan sounded good in theory, it also had too many variables. When Juliet came to him at the beginning of Act IV, he should have advised her to confess to her father of her relationship with Romeo. It's quite possible, judging from Capulet's expressed opinion of Romeo and his love for his daughter, that he might have understood. He probably realized that Tybalt wa...

In the novel The Outsiders , the Greaser gang has a reputation for being tough, intimidating trouble makers. They are easily identified by their greasy hairstyle and the jackets they wear. Ponyboy is proud of his greasy hair and hates when he has to cut and bleach it while he is hiding out in Windrixville. When Johnny initially mentions that they'll have to alter their appearances, Ponyboy says, " Our hair was tuff---we didn't have to use much grease on it. Our hair labeled us greasers, too---it was our trademark. The one thing we were proud of. Maybe we couldn't have Corvairs or madras shirts, but we could have hair " (Hinton 61). Also, before the rumble, Soda and Steve put excessive amounts of grease in their hair to show that they are Greasers. The Greasers come from the lower class and do not have many material possessions like their rival gang, the Socs. They are also considered society's outcasts. Rather than feel sorry about their situation, they embrac...

Fitzgerald weaves sports into his novel to help characterize Tom Buchanan and Jordan, as well as to delineate class. Nick Carraway dislikes Tom and uses sports to deliver one of the more famous digs in the novel. He says that Tom's glory days were in college as a football player and it has been all downhill for him since. He was one of the "most powerful ends that ever played football at New Haven" but had achieved "such an acute limited excellence at twenty-one that everything afterward savors of anti-climax."  Nick illustrates that Tom is "enormously wealthy" by noting that he brought "a string of polo ponies down from Lake Forest." It's hard for Nick to imagine that somebody of his generation has enough money to do that. The polo ponies--and riding in general--show how far up Tom is on the "old money" class ladder. Riding and polo playing are the upper crust sports in this novel. This is made clear in the excruciating scene w...

There are two main reasons why Australia got involved in the Vietnam War.  The first had to do with preventing the spread of communism while the second had to do with Australia’s relationship with the United States. In the 1960s, the United States was Australia’s most important geopolitical ally. This was during the Cold War and the US was the leader of the “free world.”  Australia was on the side of the US.  This meant that the country would be inclined to follow American policies in most cases.  Australia felt that it was important to get involved in Vietnam, in part because they were following America’s lead. However, Australia might well have gotten involved in Vietnam even if the US had not wanted them to.  This was because Australia was a staunchly anticommunist country.  Australia was fully committed to democracy and capitalism and did not want communism to spread around the world.  Moreover, since Vietnam is much closer to Australia than to the US, Vietnam’s fate was much more ...

The first issue here is that "free" health care isn't actually free. Hospitals, doctors, and medications all cost money. The actual issue is how those costs are paid for and by whom. In some countries, patients pay health care providers directly. In other countries, people tend to buy insurance and insurance companies then pay all or part of medical costs. The standard model in most developed countries is some form of national healthcare, usually with a single payer model, in which the government collects taxes and uses tax money to pay the health care costs of all citizens and permanent residents. The current system in the United States is actually a mixture of government (i.e. taxpayer) funded health care available to veterans, lower-income families, and the elderly, for-profit insurance, and direct payment to providers.  What changes people will experience in health care-related costs if a single payer system was instated would depend on implementation details. For vet...

In his book  Collapse,  Diamond argues that inability to adapt to environmental changes, the inability to adapt to the loss of trading partners, and the strains put on the environment due to overpopulation are factors that lead societies to collapse. His underlying message is that failure to adapt to change, especially environmental change, can be lethal. One example he uses is the fate of the Norse, who successfully settled for some centuries in Greenland and succeeded for a time as farmers. When climate problems arose and ships that brought supplies from the homeland stopped coming, these European settlers couldn't adapt. The irony is that they had examples all around them in the form of indigenous Native peoples who had adapted to Greenland through, for example, fishing in kayaks to obtain the food they needed in the harsh winter months. The Norse could have followed suit, but simply refused to change their way of living. Instead, they gradually disappeared. Diamond warns the sa...

There have been many examples of media bias in the coverage of the election for the presidency this year. One recent example of bias dealt with the health of Hillary Clinton. The Trump campaign has made many statements about the health of his opponent. If people believe that Hillary Clinton has health issues, this could influence their vote. Last weekend, Hillary Clinton suffered a health issue after she attended a ceremony remembering the events of September 11, 2001. It was reported and determined that she had pneumonia and needed to rest in order to get better. When CBS News interviewed her husband, former President Bill Clinton, he caught himself in mid-sentence saying that these medical issues have happened frequently. When CBS News originally ran the interview, the slip of the tongue by former President Clinton was omitted. This clearly changed the dynamic of the story. If people believe that the medical situation last Sunday is a frequent occurrence, they might have concerns abo...

The Prologue to the play foreshadows the role fate will play in the death of the two lovers in the following lines: From forth the fatal loins of these two foes A pair of star-cross'd lovers take their life; The phrase "fatal loins" suggests that the feud leading to the death of the two lovers, like the conflicts of Greek tragedy, was some sort of fate that was transferred down across generations.  The phrase "star-crossed" refers specifically to astrology, a theory that one can discover people's fate by looking at the position of the stars at their birth. "Star-crossed" specifically means that the unfortunate fates of the two lovers were predestined and readable in their stars. One sees this reflected in the plot, in the way that coincidences, accidents, and misunderstandings seem to conspire to keep the two lovers apart, suggesting that their relationship was indeed doomed by fate. 

Many books published by Penguin follow a standardized format designed by typographer Jan Tschichold. In this format, asterisks are used to note references or footnotes in the text. As there is no footnote on the page, we can assume it is a reference. Based on your edition, this information is most likely available at the very back of the book as a list of "Works Cited" or "References." Many contemporary works, by Bede and otherwise, are mentioned in this book as a way of offering greater context. Take note that these asterisks occur at the end of sentences or paragraphs dealing with other works of literature, like the  Life of Germanus,  or even law codes of the time. With so many references being made by name, it may have been easier for the publisher to simply denote a reference by an asterisk, with the full citation elsewhere, than to include an MLA or APA style in-text citation.

Helen tells us this story in Chapters 14 and 15. She was about 12 years old when she wrote a story she originally called “Autumn Leaves” and then re-titled as “The Frost King.” She sent it to Mr. Anagnos at the Perkins Institution for the Blind in Boston, and he chose to publish it in a school report. Unfortunately, it turned out Helen’s story was quite similar to a story called “The Frost Fairies,” written by Margaret T. Canby and first appearing in a book called Birdie and His Fairy Friends , originally released in 1874. Evidently, the Hopkins house had a copy of this old book; and once when Helen was staying there, someone read the story to her. She was used to assimilating everything she read and learned, and she hadn’t realized the story she wrote wasn’t her own work. She didn’t remember having ever heard the tale before. Perkins launched an investigation. Helen had to appear before a committee without Anne Sullivan to help her. She was nervous and upset, and the members thought s...

"The Raven" is about a man who is grieving over the death of his lost lover, Lenore, and how he plunges deeper and deeper into depression. Poe uses suspense to help readers empathize with the man's feelings even as they hope he will find some relief from his despair. Poe builds the suspense through repetition, dialogue, and descriptions of the man's thoughts.  First, the repetition at the end of six of the first seven stanzas of the words "nothing more" gradually builds suspense, convincing readers there must be something more. The repeated words "Lenore" in stanza 2 and again in stanza 4, as a question, build the suspense that the something more might be an apparition of Lenore herself. When the final word of each stanza changes to "Nevermore" for the last eleven stanzas, suspense builds again. Readers wonder how long this can go on. Surely the refrain will change to something more positive in the next stanza! The dialogue also contrib...

In the 1950s and 60s (and earlier) chemical pesticides were used extensively but untested. After  Silent Spring  was published by Rachel Carson in 1962, chemical companies including Monsanto hit the author with both lawsuits and personal attacks. President John Kennedy took note and asked for an investigation into claims that led to increased regulations concerning chemical pesticides.  Some believe that currently there is still a lack of commitment to proper testing to validate the safe use of pesticides. Often, publications note connections between current pesticides and diseases such as Parkinson's, Alzheimer's, cancer, infertility, and others. Some scientists believe a commonly used weed killer - atrazine - could be more harmful to humans than originally thought. An article published in 2009 stated that birth defects, low birth weights, and reproductive problems could be outcomes even when used at concentrations that meet current federal standards.  Natural pesticides do ex...

O. Henry's "After Twenty Years" falls under the genre of Realism. Set in New York City at the turn of the twentieth century, this tale of the fated reunion of two old friends after twenty years, and involves some surprising contradictions. It begins with a policeman who walks his beat by checking the doorways and the store doors. As he does so, he comes to the dark doorway of what was once a restaurant and finds a man standing there. "It's all right, officer," he said, reassuringly. "I'm just waiting for a friend. It's an appointment made twenty years ago." While the stranger explains, he lights a cigar. As he does so, the light reveals a scar near the man's right eyebrow and a large diamond in his necktie. These distinguishing marks identify the man as the policeman's old friend, who is now known as 'Silky Bob' and wanted by police in Chicago. When Jimmy Wells, the policeman, recognizes his old friend as a wanted man, he do...

The binding energy can be calculated by using Einstein's mass-energy equivalency equation, that is, E = mc^2.  In this equation, m is the mass defect and C is the speed of light. Mass defect, m = actual mass of nucleons - actual mass of nucleus or, m = number of protons x mass of proton + number of neutrons x mass of neutron - actual mass of nucleus = 17 x 1.00783 + 20 x 1.00867 - 36.94740  = 0.35911 g/mol = 3.5911 x 10^-4 kg/mol And, binding energy = mc^2 = 3.5911 x 10^-4 kg/mol x (3 x 10^8 m/s)^2 = 3.232 x 10^13 J/mol = 3.232 x 10^10 kJ/mol Since there are 37 nucleons, we can also calculate the binding energy per nucleon, by dividing the total binding energy by the number of nucleons. Thus, binding energy = 3.232 x 10^10 / 37 kJ/mol/nucleon = 8.735 x 10^8 kJ/mol/nucleon . Hope this helps.

There are several different approaches you could take to the assignment. The key to writing a critical paper of this type is to focus on one very narrow topic you can investigate in depth. A key to writing a good paper—and actually enjoying the experience—is to find some connection between your own interests and the novel. For example, if you are majoring in business or accounting, you might look at the economic role of the mill or the finances of the Tulliver family. You could analyze, from a business perspective, whether Mr. Tulliver was a competent manager.  If you are majoring in engineering, you could write about whether Eliot's portrait of the mill was accurate and perhaps investigate how mills were built in the period, how they worked, or their importance to the economies and industries of small villages. If you are interested in fashion, you could talk about the descriptions of the clothing of two or three characters in the story and what those descriptions tell us about th...

The outcasts, also called Osu by the Igbo people,  were some of the first to convert to Christianity upon the arrival of the missionaries. Achebe describes and Ibo outcast as a person who lived “in a special area of the village” and “carried with him the mark of his forbidden caste-- long, tangled and dirty hair” (156). These are people who are so shunned by the Igbo community that they could not take part in any of the ceremonies, take a title, or even be buried with everyone else. They are shunned in all ways. Therefore, when the Christians come saying that they will accept all people regardless of their differences, the idea of finally being accepted appeals to the outcasts. When some of the earlier converts protest this acceptance of the outcasts, Mr. Kiaga, the church leader, stays firm, saying “‘He needs Christ more than you and I” (156). Achebe then says that it is Mr. Kiaga’s strong stance on accepting the outcasts that “saved the young church” (157). When the converts saw how ...

We are asked to write a power function whose graph includes the points (5,9) and (8,34). Substitute the given x,y pairs into the base model to get two equations with the two unknowns a,b. Solve the resulting simultaneous system: `9=a*5^b,34=a*8^b` Solve the first equation for a: `a=9/(5^b)` Substitute this expression for a in the second equation: `34=9/(5^b)8^b` `34=9(8/5)^b` `(8/5)^b=34/9` `b=(ln(34/9))/(ln(8/5))~~2.828` Substitute this value for b to get a: `a~~9/(5^2.828)~~0.095` Thus the model is `y=.0.095x^(2.828)` ``

The play Juno and the Paycock , written by Sean O'Casey, tells the story of the Boyle family. The play takes place in a Dublin tenement in 1922, just after the Irish Civil War began. The Boyle family consists of father Jack, who spends his days drinking at the pub; mother Juno, the only working member of her family; daughter Mary, who is on strike; and son Johnny, who cannot work due to disability. One day, the family receives a large inheritance from one of Jack's relatives, and he promises to change his lifestyle. Instead, Jack begins recklessly spending on credit, while the family fails to receive the inheritance. Mary also becomes pregnant with the child of Mr. Bentham, who delivered the news of the family's inheritance, and he suddenly disappears. Jack discovers that he will not receive his money because Bentham failed to draft the will correctly, and that his disappearance was the result of his fleeing the country in shame over the error. Around this time, Johnny, who...

Given, `x^3y' + 2y = e^(1/x^2) ` and to find the particular solution of differential equation at  `y(1) = e`. so proceeding further , we get. `x^3 y' + 2y = e^(1/x^2)` =>`y' + 2y/(x^3) = e^(1/x^2) /x^3` so , the equation is linear in y and is of the form `y' +p(x)y=q(x)` so the general solution is given as `y*(I.F)= int q(x) * I.F dx+c` where I.F (integrating factor ) =  `e^(int p(x) dx)` on comparing we get , `p(x) = 2/x^3 and q(x) = e^(1/x^2) /x^3` so , `I.F = e^(int (2/x^3) dx) = e^(2 (x^-3+1 )/ -2) = e^(-(x^-2))` so , `y (e^(-(x^-2)))= int (e^(1/x^2) /x^3) * (e^(-(x^-2))) dx+c` =>`y (e^(-(x^-2)))= int (x^-3) dx+c` =>`y (e^(-(x^-2)))= x^((-3+1)/ -2)+c` => `y (e^(-(x^-2)))= x^-2/ -2+c` => `y = (- (x^-2)/2+c)/(e^(-(x^-2))) ` = `e^((x^-2)) *(c-(x^-2)/2 )` so , now to find the particular soultion at `y(1) =e` , we have to do as follows `y(x) = e^((x^-2)) *(c-(x^-2)/2 )` => y(1) = `e^((1^-2) ) *(c-(1^-2)/2 )` => `e= (e ) *(c-(1)/2 )` => `1= c-1/2` ...

Great question! This was probably done to heighten the tension and drama of the scene. As readers, we were treated to all of the details of Rikki-tikki's fight with Nag; these revealed more about the mongoose's character, especially his courage and tenacity. But then the final details of his fight with Nagaina are withheld from us. We do get to read about how Nagaina slips into the hole, with Rikki-tikki following close by, and we're told that the hole is "dark," that the little mongoose "never knew when it might open out" and allow the huge snake to turn and attack him. But then the narration returns above ground to focus on the now-still grass by the entrance to the hole and on Darzee singing his mournful song. The next thing we know: Rikki-tikki, covered with dirt, dragged himself out of the hole leg by leg, licking his whiskers. Darzee stopped with a little shout. Rikki-tikki shook some of the dust out of his fur and sneezed. "It is all over,...

Jonathan Edwards speaks at length about God's wrath for sinners and what Hell will be like for those who fail to actively seek salvation.  For those complacent folks who assume themselves to be among God's elect, Edwards has some sobering words: "But the foolish Children of Men do miserably delude themselves in their own Schemes, and in their Confidence in their own Strength and Wisdom; they trust to nothing but a Shadow." Edwards' point is that those who feel confident that they are, by their own estimation, living successfully and self-sufficiently, are deluding themselves. Edwards inveighs that a person's history of success and good intentions for the future won't matter to God on the day of judgment. Edwards wants to disabuse his listeners of their notions that God will spare them because of their cleverness and ability to succeed in their earthly lives.  Their faith in themselves will not impress God, and those who believe that it will are deceiving t...

`(x+2)/(x-4)+2/x+(5x)/(3x-1)` LCD of the expression is `x(x-4)(3x-1)` `=(x(3x-1)(x+2)+2(x-4)(3x-1)+5x(x)(x-4))/(x(x-4)(3x-1))` Expand the terms in the numerator and combine the like terms, `=(x(3x^2+6x-x-2)+2(3x^2-x-12x+4)+5x^2(x-4))/(x(x-4)(3x-1))` `=(x(3x^2+5x-2)+2(3x^2-13x+4)+5x^3-20x^2)/(x(x-4)(3x-1))` `=(3x^3+5x^2-2x+6x^2-26x+8+5x^3-20x^2)/(x(x-4)(3x-1))` `=(3x^3+5x^3+5x^2+6x^2-20x^2-2x-26x+8)/(x(x-4)(3x-1))` `=(8x^3-9x^2-28x+8)/(x(x-4)(3x-1))`

Brian Friel's  Translations  depicts the beginning of the end of the Irish language, as it focuses on the efforts of a group of English mapmakers and soldiers translating Irish place names into English. In the play, the act of translation becomes an act of existential destruction, as Friel equates the extinction of the Irish system of naming with a loss of identity.  It's interesting indeed to compare this idea to the "What's in a name?" quote from Shakespeare's  Romeo and Juliet . This quote is spoken by Juliet in Act 2, Scene 2, and the general implication here is that a name theoretically shouldn't have much significance. More specifically, Romeo's Montague name shouldn't define him or prevent Juliet from loving him. As such, in this quote Shakespeare questions the notion that names can provide a meaningful or rigid identity. It goes without saying that Friel would disagree with Shakespeare.  Translations suggests that naming  does  have signif...

In Act V, Scene 2, Hamlet talks to his friend Horatio and tells him that there is a "divinity" that orders man's end. He also expresses a premonition after having accepted King Claudius's invitation for him to duel Laertes. Hamlet first tells Horatio that he felt a "fighting" in his heart which awakened him on the ship to England. Because of this feeling, he arose and found the letter that Rosencrantz and Guildenstern carried. By forging a different letter, Hamlet averted the plans of Claudius to have him killed in England, and Rosencrantz and Guildenstern died, instead. Further, Hamlet tells Horatio that there is "a divinity" that determines man's end; that is, he observes that fate will make things occur and all man can do is be ready for it. There’s a divinity that shapes our ends, Rough-hew them how we will— (5.2.10-11) Later in this scene, Osric, a courtier, gives Hamlet an invitation from King Claudius for Hamlet to duel Laertes. After Os...

Antigone is not really a psychological drama "about" a single character. It is a play about the conflict between characters and more generally about the conflict between human and divine law. The question of which character is the "protagonist" (literally "first contestant") of the play has been widely debated. There is no single correct answer, as solid arguments can be made for both sides of the debate.  While modern audiences tend to sympathize with Antigone, there is some evidence that Creon would have been considered a protagonist in antiquity. The tragic hero is characterized as one suffering a reversal of fortune followed by some recognition of a truth or insight. Antigone is a somewhat flat character, taking a consistent position throughout the play, while Creon suffers a more traditional reversal and eventually repents of his actions, albeit too late. Thus, Creon follows a more typical pattern of a tragic hero than Antigone and is somewhat more l...