Onboard Note

Chapter 21 isn't the only chapter that shows how Lyddie and the other girls have next to no rights whatsoever. The girls on the factory floor are pushed hard. The machines work at blindly fast paces, and girls work multiple machines. If a girl gets hurt, she is just replaced like any other interchangeable part. This treats the girls like mere objects, and that is what chapter 21 also shows readers; however, this time the chapter shows readers that men like Marsden treat the girls like sexual objects. The huge problem for the girls back then was that they had no recourse. Any of the girls could complain, but by doing so they risk their job. Additionally, the girls risk being blacklisted and never allowed to work a factory again. This means that the girls have to take whatever conditions are given to them regardless of how grossly inappropriate it is. Lyddie does stand up to Marsden and saves Brigid, but Lyddie is fired because of it. It's a devastating moment for readers. Lyddie...

Updike's poem "Dog's Death" is about the unseen hurts that creatures we love walk around with and that they cannot survive even though we love them. That is a thesis about the poem. After his puppy dies, the narrator finds out that the dog had been walking around with a ruptured liver. All the time that the family was trying to encourage the puppy to follow rules, such as using newspapers to go to the bathroom and praising her with the words "good dog," the dog was carrying around an injury, perhaps from a brush with a car or a kick, that will kill her. After the dog dies, the family realizes she really was a good dog and had been suffering with diarrhea but still dragged herself over to use the newspaper. Walking around with this unseen injury, she tried to be a good dog until the end of her life. The narrator says, "Though surrounded by love that would have upheld her,/ Nevertheless she sank and, stiffening, disappeared." The narrator is crushed ...

At the beginning of the novel, ten-year-old Winifred (Winnie) Foster is quite frustrated with her mother and grandmother, who seem to hover over her every move. At one point, she states she wishes she had a different name; one that was not so worn out from being called on all the time. Living in the "touch-me-not-cottage", the nicest home in Treegap, Winnie has not yet sensed freedom from over overbearing family. As a result, Winnie chooses to run away. Although, she quickly becomes fearful of that plan, as she has never been away from home on her own. So, instead, Winnie decides just venturing into the woods might be a better plan. The woods were her family's after all. This is what draws Winnie into the woods - a sense of freedom; but a "safer" freedom than running away altogether. For Winnie Foster, the woods represent a rare taste of freedom. She is an only child and feels like she is constantly being monitored by her parents. She feels stifled, and she want...

Given equation is y'+xy=xy^(-1)   An equation of the form y'+Py=Qy^n is called as the Bernoulli equation . so, to proceed to solve this equation we have to transform the equation into a linear equation form of first order as follows => y' (y^-n) +P y^(1-n)=Q let u= y^(1-n) => (1-n)y^(-n)y'=u' => y^(-n)y' = (u')/(1-n) so , y' (y^-n) +P y^(1-n)=Q => (u')/(1-n) +P u =Q so this equation is now of the linear form of first order Now, From this equation , y'+xy=xy^(-1) and y'+Py=Qy^n on comparing we get P=x , Q=x , n=-1 so the linear form of first order of the equation y'+xy=xy^(-1) is given as   => (u')/(1-n) +P u =Q where u= y^(1-n) =y^2 => (u')/(1-(-1)) +(x)u =x => (u')/2 +xu=x => u'+2xu = 2x   so this linear equation is of the form u' + pu=q p=2x , q=2x so I.F (integrating factor ) = e^(int p dx) = e^(int 2x dx) = e^2(x^2)/2 = e^(x^2)   and the general solution is given as u (I.F)=int q * (I.F) d...

The given parametric equations are , x=2-picos(t), y=2t-pisin(t) The curve crosses itself for different values of t , which give the same x and y value. So, to get the point where the curve crosses itself, let's make a table for different values of t.(Refer attached image) From the table , we can find that the curve crosses itself at (2,0) for t=+-pi/2 The derivative dy/dx is the slope of the line tangent to the parametric graph (x(t),y(t)). dy/dx=(dy/dt)/(dx/dt) dx/dt=-pi(-sin(t))=pisin(t) dy/dt=2-picos(t) dy/dx=(2-picos(t))/(pisin(t)) At t=pi/2 , dy/dx=(2-picos(pi/2))/(pisin(pi/2))=2/pi Equation of the tangent line can be found by the point slope form of the line, y-0=2/pi(x-2) y=2/pi(x-2)  At t=-pi/2 ,dy/dx=(2-picos(-pi/2))/(pisin(-pi/2))=2/(-pi)=-2/pi  Equation of the tangent line, y-0=-2/pi(x-2) y=-2/pi(x-2) Equation of the tangent lines at the point where the given curve crosses itself are : y=2/pi(x-2), y=-2/pi(x-2)  

Antonio, like most human beings, has a mixed character. We can admire him for his loyalty to Bassanio and his love for this friend. Whether the relationship is homoerotic or not, Antonio is willing to do anything to help this beloved young man. We can also admire Antonio as a successful merchant, willing to send his ships on risky ventures to get merchandise. This risk-taking extends to the loan he takes out from Shylock, confident that one of his ships will come to port before the loan is due to be repaid. Antonio is confident, generous, loyal, a successful businessman, and willing to take risks. But he is also anti-Semitic, and Shylock resents a long history of insults and even low-scale violence from this merchant. Antonio is kind to his friends, but he is never kind to Shylock, even working to force this devout Jew to convert to Christianity at the end of the play. We can also question whether Antonio is overconfident when he blithely agrees to the loan terms set up by Shylock. It ...

George Wilson wrongly believes that it was Gatsby who struck and killed Myrtle. He knows that it was a yellow car that cut down his wife in the middle of the road; he also knows that when Tom stopped by his gas station to fill up, he was driving a yellow car. Yet Tom is able to persuade George that the car he was driving wasn't really his after all, despite what he'd originally told him. Tom's desperate attempt to dig himself out of trouble plants in George's tortured, grief-stricken mind the notion that if he can track down the owner of the car, then he'll have his wife's killer. Once he finds out the car belongs to Jay, it's game over for Gatsby.

Christianity and Islam are the two largest religions of the world, with 2.4 and 1.6 billion adherents, respectively. Both are Abrahamic faiths, which means that both of these religions trace the founding of a relationship between God and man to the biblical figure of Abraham. Because of this shared heritage, Christianity and Islam have much in common, but they do differ in a few important ways. First, let's compare and contrast worship in Christianity and Islam. Christians and Muslims may pray privately, at home, or publicly, in a house of worship. For Christians, this public house of worship is called a Church, and for Muslims, the Masjid or Mosque. In both religions, there are ritualized ways of praying, including gestures and reciting certain prayers or passages of the holy books. One major difference between these two religions is that Muslims are required to pray five times every day, though they may be excused from this if they are sick or menstruating. While Christians are e...

Susan Glaspell's Trifles is a short, one-act play centered on the investigation of the death of a man named John Wright. The main characters are Mrs. Peters, wife of the Sheriff, and Mrs. Hale, a neighbor of John and Minnie Wright. George Henderson is the sexist, condescending, and self-important county attorney who harshly criticizes Mrs. Wright without knowing anything about her or her life. The Sheriff and Mr. Hale both don't really have any defining character traits, other than that they are direct and straightforward with their actions. Though Hale is not as presumptuous or overtly rude as the other men, it becomes clear that these two, like Henderson, are sexist and undervaluing of the women in their lives, as all three men make insulting comments when the women talk about "trifles" like Mrs. Wright's preserves and her quilting project. One of the main points of Trifles is that men often overlook things that women see as important, brushing off their thought...

The ideas expressed in the Thirteenth and Fourteenth Amendments, as well as the principles embodied in the Supreme Court’s landmark decision in Brown v. Board of Education of Topeka (1954), are certainly relevant in the decision-making process that led to the Civil Rights Act of 1964 ultimately being passed by Congress. However, the ensuing legal battle concerning the constitutionality of this Act revolved around the interpretation of the Constitution’s Commerce Clause. With the Lochner Era coming to an end during the New Deal, the Supreme Court began to expand its interpretation of Congressional power under the Commerce Clause. In decisions such as Nebbia v. New York (1934), West Coast Hotel Co. v. Parrish (1937), and Williamson v. Lee Optical of Oklahoma (1955), the Court ended the policy of economic due process that had curtailed the ability of Congress to legislate in the realm of economic activities. The Supreme Court addressed the extent of Congressional Power under the Commerce ...

At the end of the story "Cathedral" by Raymond Carver, the narrator is sitting with Robert, who is blind. They are watching TV together, and a program comes on which focuses on cathedrals. Suddenly, the protagonist (who is not given a name) asks Robert, Something has occurred to me. Do you have any idea what a cathedral is? What they look like, that is? Do you follow me? If somebody says cathedral to you, do you have any notion what they’re talking about? Do you know the difference between that and a Baptist church, say? He suddenly realizes that Robert's view of the world is generally limited to what other people tell him. Robert explains, "I know they took hundreds of workers fifty or a hundred years to build," he said. "I just heard the man say that, of course. I know generations of the same families worked on a cathedral. I heard him say that, too." Then, he admits that his understanding of cathedrals is very limited, and he asks the protagonist to...

Your question relates to the dramatic events in Act 2 and seems to ask whether Mary Warren was aware that the poppet she made as a gift for her employer, Elizabeth Proctor, would be used as a tool by the diabolical Abigail Williams to implicate Elizabeth as a witch. The answer, in this instance, is no. Mary made the doll in court as a gift for Elizabeth. Mary Warren, glancing about at the avid faces: Why—I made it in the court, sir, and—give it to Goody Proctor tonight. She also mentions that Abigail sat next to her and saw her fashion the doll and had witnessed her inserting the darning needle into the doll's belly once she had finished. That evening, Abigail had screamed out in pain during dinner at her uncle's (the Reverend Parris) house and fell to the floor. The concerned Reverend approached her and extracted a needle from her stomach. Abigail claimed that Elizabeth had bewitched her by using the doll. Her devious act leads to the issue of a warrant for arrest against Eliz...

A major medical explanation for criminal behavior is antisocial personality disorder, more commonly known as psychopathy or sociopathy (though these are no longer medically the best terms). Antisocial personality disorder consists of a strong reward drive without the ability for empathy. People suffering from this disorder tend to be manipulative, abusive, unstable, and often charming in the single-minded pursuit of their goals. It is also extremely common for these people to be criminals. The ability to cause pain and distress without feeling guilt or remorse for their actions makes people with this disorder naturally primed for crime. Notions of right and wrong and regard for the law do not pose the same stopping forces for those with anti-social personality disorder as they would with the average person. Based on estimates of the number of individuals with anti-social personality disorder in the general population and in prisons, it is believed that over 90% of adult men with this d...

Washington Irving was one of America's earliest satirists and "The Legend of Sleepy Hollow", a short story set in the colonial period, observes the insularity of the early Dutch settlers of the Hudson River valley and the lengths to which they would go to ensure the purity of their community. Brom Bones is a symbolic character meant to represent the bounty of America, a young country rich in resources with strong ties to its European heritage. It is widely expected that Brom Bones and Katrina Van Tassel, scions of wealthy Dutch-American families, will eventually marry and merge the extensive landholdings of their fathers.  Because they are young, Katrina and Brom play games with each other before they consent to settle down together to please their parents and the community at large.  When outsider Ichabod Crane comes to town and becomes the schoolteacher, Katrina's beauty and wealth capture his attention.  He courts her, and she welcomes the attention because it appe...

It seems that Peyton Farquhar attempts to destroy the Owl Creek Bridge because he believes that its destruction would injure the Union war effort and aid the Confederacy. As a slave owner, "he was naturally an original secessionist and ardently devoted to the Southern cause." He didn't want to join the army, likely due to his "imperious nature"—in other words, he doesn't like to take orders—but he is interested in finding an "opportunity for distinction:" some way in which he can help the South to defeat the Union Army and retain its so-called way of life. He feels himself to be, at heart, a soldier, and he likewise believes that "all is fair in love and war." When the apparently Confederate soldier tells him that injuring the rail lines would very seriously hinder the Union Army's progress in the South, Farquhar seems to decide to attempt to burn the bridge, as the soldier suggests is possible due to a large quantity of wood that has...

Matt is upset with Celia because yet again, she is leaving for work and he’ll be left locked up alone in the house all day. Matt is curious about the world outside that he has only interacted with by way of peering through the window. Celia would never allow him outside because it is unsafe for him. Matt does not know that he is a clone, purposefully lab-manufactured to provide El Patron with a replacement heart in the future. However, humans, and more so, those in El Patron’s household, loathe clones and often go out of their way to harm them. For this reason, Matt is put under the safe custody of Celia, a cook in El Patron’s house. He is finally discovered from his safe hideout and momentarily endangered in the hands of El Patron’s people. El Patron saves Matt and accords him a respectable life, including an exclusive bodyguard. Matt finally escapes his fate as El Patron’s heart donor and moves to Aztlan.

Jamestown, an English colony, was founded in 1607, but by 1614, disease, famine, and war with the Native Americans turned the establishment into a place of suffering. The colony seemed lost until John Rolfe, the man who married Pocahontas, decided to cultivate tobacco in the region. Rolfe chose to grow Nicotiana Tabacum, a strain of tobacco that was being grown in South America by the Spanish.  Rolfe was successful. Colonists took the first shipment of tobacco to London in 1614 and it was quickly sold. The crop was so successful that Rolfe sailed over to London to discuss its success with King James I who agreed to allow Jamestown to continue growing and selling tobacco. King James I did not support the use of tobacco, but he saw that it would be the only way to save his precious colony. Not to mention, he realized that England could make a fortune off the import and sales taxes from the crop. Tobacco was so successful that the colony had produced and sold over 750 tons of it by 1639, ...

Considered among the most important documents in United States history, Federalist #10, written by James Madison under a pseudonym, provides one of the Founding Fathers' most eloquent arguments in support of the Constitution. That this particular document constitutes a warning to the public against the factionalism into which Madison and others feared a pure democracy would descend makes it especially noteworthy. Many Americans understand that the system of government established in the Constitution is not a pure democracy but rather a republic. In other words, the public elects individuals to go to Washington, D.C. to represent its interests. If every voting-age citizen voted on legislation, the process by which laws are made and treaties ratified would have been too unwieldy and too riven by factions of like-minded individuals whose interests may ignore those of the larger good; in other words, factional interests would overshadow the interests of the nation as a whole. As Madiso...

Sisyphus is a character in Greek mythology who is condemned to spend his life rolling a boulder up a mountainside. There are some variations on the Myth of Sisyphus, but it is generally told that he was the king of Corinth. He was exceptionally clever, in some versions described as a highwayman, and is even said to have cheated Death! For being so bold, the Gods set a punishment for Sisyphus that he could never overcome. He must roll a heavy boulder up a mountainside, only to have it roll back down once reaching the top. He must perform this task over and over for all eternity.  Sometimes people will call a repetitive and futile action a "Sisyphean task," referencing the Greek myth. https://www.britannica.com/topic/Sisyphus https://www.nyu.edu/classes/keefer/hell/camus.html

Foreboding is the feeling that something bad will eventually happen. One example of a foreboding scene throughout the novel takes place in Chapter 19 after Bruno has dressed up as a Jew and crawled underneath the fence of the concentration camp. When Bruno walks through the concentration camp, he mentions to Shmuel that he doesn't like it in here. All of a sudden, ten Nazi soldiers surround the area in which Bruno and Shmuel are standing and give them a command to march. A crowd of prisoners gathers and begins to march. Bruno and Shmuel are trapped in the center of the group and collectively move with the other prisoners. As they are marching, Bruno looks up in the sky and notices that clouds are becoming darker. There is also the sound of loud thunder overhead and rains begins to pour down heavily. The weather can be described as being foreboding during this scene. The reader can assume that something terrible is going to happen based on the precarious situation Bruno and Shmuel a...

In “The Bride Comes to Yellow Sky” by Stephen Crane, the reader experiences Jack Potter’s character on the train as a newlywed, and in the rural Texas outpost town named Yellow Sky. When the story opens, Jack Potter is riding the train back to Yellow Sky with his new bride. Earlier in the day, the couple was married in San Antonio. Jack shows his wife how worldly he is by explaining things about train travel, and treating her to a meal in the dining car. He is a bit shy in his new role as a husband but shows concern for his bride as they travel back to Yellow Sky where he is the town marshal. His speech is quiet but informative. "You see, it's a thousand miles from one end of Texas to the other, and this train runs right across it and never stops but four times." He had the pride of an owner. He pointed out to her the dazzling fittings of the coach, and in truth her eyes opened wider as she contemplated the sea-green figured velvet, the shining brass, silver, and glass, t...

Republicanism is an old tradition of thought whose main idea was that the government should be a "mixed government". Later on, we started to linked it to the idea of democracy and elections. Another main conception of the Republicanism is the idea that the government should secure the Liberty of the citizens and the idea of the "civic citizen", who should be engaged in the administration of common affairs and the government.  Although it was an already old idea, Polybius sintetized the notion of the mixed government for the Classical thinkers. He wanted to know why the Roman system was more stable than other. He used a tipology of the forms of government; however, unlike his predecesors, he said they were three good ones (monarchy, aristocracy and democracy) and three bad ones (tyranny, oligarchy and mob-rule) and that they were "simple forms" of government that were in an "anacyclosis" (degenerating cycle). In other words, monarchy leads to tyra...

You can use the following formula to solve this problem: Electric Energy = Power x Time.   You have already been given the power. It's 2,800 watts. 1 watt of power is equivalent to 1 Joule of energy per second. That means you need to convert 35 minutes into seconds. Multiply 35 minutes x 60 seconds/ minute and you get 2,100 seconds.   Now multiply that answer by the 2,800 watts of power being used.   2,800 x 2,100 = 5,880,000 Joules The electric dryer in question is using 5,880,000 Joules of energy during that 35 minute time period. Compared to anything else in the house, that clothes dryer is probably the the highest electric energy consumer on the property. I've attached a link below that explains a few other formulas regarding electricity consumption, usage, and how the power company uses kilo-watt hours instead of joules.   

"In a Grove" is perhaps the most famous of Akutagawa Ryunosuke's works. It is the basis for Kurosawa Akira's movie Rashomon and helped cement the widely used plot line of telling varying accounts of solving a crime, a plot that is seen on both television and in film. However, using this method of storytelling also means that it can be difficult to know which details are true. It is obvious to blame Tajomaru for the murder of Takehiro, as he is the criminal in this story. He admits to the crime. However, there are several inconsistencies within his confession that do not seem to reflect Takehito truthfully as a person. As is sworn by Masago's mother, Takehito's mother-in-law, he was a person with a gentle nature, contrary to the greedy person Tajomaru describes. This is where the reader must begin to draft their own version of events, as it seems the testifying characters are lying. Afterwards, Masago herself takes responsibility for the crime. Her description ...

It tells you something about the primitive state of medicine at the time that it was genuinely believed, by a qualified medical practitioner, that African Americans were immune from yellow fever. Yet that it precisely what Dr. Rush believes. His understanding—or lack thereof—of this terrible condition forces him to take desperate measures. For white people to enlist the help of African-Americans at that time would've been considered quite desperate indeed. In addition to scientific ignorance, Dr. Rush is motivated by racism. He sees African Americans as strange and mysterious, not fully human by comparison with white folk. This is the main factor in his absurd conclusion that black people are immune from yellow fever and can therefore be called upon to help treat yellow fever victims and bury the dead. Dr. Benjamin Rush, who led the medical fight against the yellow fever in Philadelphia in 1793, asked free Africans in the city to help treat the fever victims because he believed tha...

After overhearing Master Auld chastising his wife for beginning to teach him how to read, Frederick becomes more determined than ever to learn to read and write. Frederick then begins to exchange bits of food with poor white children in exchange for reading lessons and practices writing at the shipyard. Frederick also acquires and reads The Columbian Orator, which includes Sheridan’s mighty speeches on Catholic emancipation. The specific texts that Frederick reads illuminate his terrible condition as a slave and motivate him to run away. Frederick describes the importance of literacy and its effects by saying, The reading of these documents enabled me to utter my thoughts, and to meet the arguments brought forward to sustain slavery; but while they relieved me of one difficulty, they brought on another even more painful than the one of which I was relieved. The more I read, the more I was led to abhor and detest my enslavers. (Douglass, 53) In addition to opening Frederick's eyes t...

In the first paragraph of Chapter Two, Scout is looking forward with great enthusiasm to starting school. She says she had watched the schoolyard through her telescope up in the treehouse last year, and learned the schoolyard games. She thinks school will be a treat. She says: I never looked forward more to anything in my life. After one day in school, however, in which Scout gets into trouble for knowing how to read and has her hand hit with a ruler, Scout has soured considerably on the whole school idea. She tells Atticus she no longer wants to go. She brings up the educational background of Atticus and her Uncle Jack to bolster her case. She notes that neither one of them went to school: “You never went to school and you do all right, so I’ll just stay home too. You can teach me like Granddaddy taught you ‘n’ Uncle Jack.” Atticus is not convinced by this argument, says he'll be jailed if he keeps her out of school, and tells her she must attend.

The river in the story symbolizes the community that lives around the river and the change that comes with the migration. Bessie Head compares the community to the deep and steady river but also talks about the change that comes when the head of the tribe dies—because rivers move and have currents as well. Head writes that "the people lived together like a deep river. In this deep river which was unruffled by conflict or a movement forward, the people lived without faces" because they aren't worried by things like personal pride or accomplishment. Instead, they work together to make a good life for everyone. This is embodied in the chief of the tribe and is one reason why things are in such upheaval once the chief dies. He makes all the decisions, and then one day he is gone, and the community is left to function without him. When this happens, it's revealed that the chief's oldest son and heir was in love with the chief's last and youngest wife; he also fathe...

We can rewrite this integral by expanding the sin(2x) into 2sin(x)cos(x). int (cos(x) + sin(x))/(2sin(x)cos(x)) dx which equals 1/2 int cos(x)/(sin(x)cos(x)) dx + 1/2 int sin(x)/(sin(x)cos(x)) dx in the first integral we can cancel the cos(x) and in the second integral we can cancel the sin(x). 1/2 int (dx)/sin(x) + 1/2 int (dx)/cos(x) 1/sin(x) = csc(x) and 1/cos(x) = sec(x) we can look up in a trig integral table that the integral of csc and sec are -ln(csc(x) + cot(x)) and ln(sec(x) + tan(x)) respectively. so this whole integral is 1/2 (-ln(csc(x) + cot(x)) + ln(sec(x) + tan(x)))

Tone I would say that the poet's tone is accepting and even reflective. The poet is glad he lived, but he's ready to die. He's rather philosophical about his death. Dying isn't a morbid subject for him, and he voices no fear of it. He readily asks for a grave to be dug for him, and he assures his listener that he already has a will written out. In other words, he's put his house in order, and he's ready to leave the world of the living. Themes The main themes of this poem are the inevitability of death and death as a respite at the end of an eventful life. In the poem, the poet calls the grave a "home" for seafaring sailor and roaming hunter alike. The last lines of the poem imply that the grave willingly accepts all who choose to lie in it. Language The poet uses alliteration (starry sky) to make a strange request: he wants his grave to be dug under the night sky. He doesn't say why; perhaps he feels that his request is appropriate because he will...

Helen Keller wrote her autobiography, The Story of My Life, when she was in her twenties.  In it, she wrote about her family.  Her father was Captain Arthur Keller.  He had fought for the Confederate Army as a captain during the Civil War.  He was a newspaper editor who enjoyed hunting, playing with his dogs, and gardening.  He grew different kinds of fruits in his garden, and he had a special appreciation for nature.  He passed this love of nature down to Helen.  Helen described her father as being "most loving and indulgent, devoted to his home, seldom leaving [them], except in the hunting season" (Chapter II). He was married to his first wife, with whom he had two sons.  His second wife was Kate Adams.  Together, they had Helen.  They later had two more children.  When Helen was a toddler, she became very ill.  The illness left her deaf and blind. Captain Keller was determined to help his daughter.  He contacted many experts until he was able to find help for Helen.  It wa...

Psychology has long highlighted the strong impact of environment on the behavioral response of people, especially children. Babies are heavily dependent on their parents or caretakers. Thus, their actions significantly affect the psychological and social development of the child, extending as far as adulthood and when they become parents later on. Studies have shown that negative actions such as (but not limited to) ignoring, rejecting, isolating, terrorizing, and verbally abusing a child have severe and long-lasting effects on them. These children often grow up feeling that they are inferior and lacking in some way. They could even end up doing the same to their own children when they become parents. This supports that behavior is influenced heavily (though not determined) by the environment in which a person grows up in and is developed. Behavioral epigenetics sort of backs this up with more tangible evidence. A study involving genetically identical twins was conducted. They were obs...

The most important details for the setting of "After Twenty Years" are the street, the doorway, the darkness, and the weather. O. Henry creates a picture of a New York street at night when almost all the little business establishments are closed. That is why he sets the time as approximately ten o'clock. Shops that might have remained open until six or seven would be locked and dark by now. The corner drugstore is brilliantly lighted with the new invention of electric lights, but it is locked up for the night. The lights have only been left on as a form of advertising.  The vicinity was one that kept early hours. Now and then you might see the lights of a cigar store or of an all-night lunch counter; but the majority of the doors belonged to business places that had long since been closed. O. Henry excelled at such descriptions. He specifies that the weather is cold, windy, and wet. This explains not only why the neighborhood is so nearly deserted, but why Bob is standing...

One of the themes of Mary Shelley's Frankenstein is the distrust of scientific pursuits. Shelley was a Romantic writer. The Romantics lived during the Industrial Revolution, and as much as they saw that the world was advancing and bringing many wonderful inventions to fruition, they also feared these new industrial and scientific innovations. When Frankenstein goes to university he meets a professor that inspires him. This professor says that scientists "have acquired new and almost unlimited powers; they can command the thunders of heaven, mimic the earthquake, and even mock the invisible world with its own shadows" (Shelley, chapter 3). While these words inspire Frankenstein with the power that could be available to him as a scientist, he then remarks that "such were the professor’s words—rather let me say such the words of the fate—enounced to destroy me" (Shelley, chapter 3). Frankenstein becomes so obsessed with his scientific pursuits that he does not stop...

As The Odyssey takes place over many years and miles, there are a number of female characters that feature in the story. I agree that Penelope is one of the most important female figures in this epic, and she is one of the few female heroes in Classical literature. One of the defining aspects of being a heroine is that, rather than the brute strength and battle courage displayed by male heroes, Penelope is often characterized as very cunning. She is extremely loyal to her missing husband, and deploys several schemes in order to ward off the suitors who come while Odysseus is away. Odysseus is constantly worried about her faithfulness despite his own multiple sexual encounters, and the fear of a wicked wife is enforced in his journey to the Underworld. He talks to Agamemnon, who was murdered by his wife Clytemnestra upon his return from the Trojan War. With this in mind, Penelope as a female character influences Odysseus to hide his initial return to Ithaca in order to assess the curren...

This is an integral of the form oint_C f(z)/(z-a) dz , where f(z)=ze^z and a=i in this case. If this meets the conditions of the Cauchy Integral Theorem we can use the Cauchy Integral Formula. oint_c f(z)/(z-a) dz =2pi i*f(a) f(z) must be a holomorphic function. ze^z is indeed an holomorphic as its infinity differentiable everywhere inside the boundary C . a must be inside the bound curve C . i is inside a circle of radius 2 centered at z=0 . Therefore by the Cauchy Integral Formula: 1/(2pi*i) [oint_C (f(z))/(z-a) dz]=1/(2pi*i) [oint_(|z|=2) (ze^z)/(z-i) dz]=1/(2pi i)*[2pi i*f(i)]=f(i)=ie^i 1/(2pi*i) oint_(|z|=2) (ze^z)/(z-i) dz=ie^i http://stat.math.uregina.ca/~kozdron/Teaching/Regina/312Fall12/Handouts/312_lecture_notes_F12_Part2.pdf

y=e^x y=sqrtx + 1 The graph of these two equations are: (Green curve graph of y=e^x . And blue curve is the graph of y=sqrt(x) + 1 .) Base on the graph, the two curve intersect at x=0 and x~~0.56 . To solve for the volume of the solid formed when the bounded region is rotated about the y-axis, apply the method of cylinder. Its formula is: V=int_a^b 2pi*r*h*dx To determine the radius and height of the cylindrical shell, refer to the figure below. Its radius and height are: r = x h=y_(upper) - y_(lower)=sqrtx + 1 - e^x Plug-in them to the formula of volume. V=int_0^0.56 2pi *x*(sqrtx + 1-e^x) dx V= 2pi int _0^0.56 (x^3/2 + x - xe^x) dx Take the integral of each term. V= 2pi (int_0^0.56dx + int_0^0.56 xdx - int_0^0.56 xe^xdx) For the first two integral, apply the formula int x^n dx = x^(n+10)/(n+1) . And for the third integral, apply integration by part int u dv = uv - int vdu . V=2pi( (2x^(5/2))/5+x^2/2 - (xe^x-e^x))|_0^0.56 V = 2pi ( (2x^(5/2))/5+x^2/2 - xe^x+e^x)|_0^0.56 V = 2pi [( (2...

Arnold himself uses "weirdo and funny" to describe himself, particularly because he was born with a condition that means that his brain is "drowning in grease" (Alexie, 2). Especially physically, Arnold is awkward. He has thick black plastic glasses that are handed out for free from the Indian Health Service (Alexie, 3), and he says that his hands and feet are so large that "with my big feet and pencil body, I looked like a capital L walking down the road" (Alexie, 3). He also has a giant head and suffers from seizures (Alexie, 3). Arnold is also shy and quiet. He tells the reader "every kid wants to go outside. But it's safer to stay at home. So I mostly hang out alone in my bedroom and read books and draw cartoons" (Alexie, 4). He then explains that he draws cartoons as a way to communicate with the world and get the attention that he wants but doesn't know how to ask for otherwise (Alexie, 5-6). However, Arnold is also determined and b...

Nathaniel Hawthorne's "Young Goodman Brown" is a complex tale of a young Puritan man's decision to leave his wife and village and walk into the surrounding forest. Although the reason for this dangerous journey is ambiguously described first as "his present evil purpose," we learn later that he is taking a walk on the dark side to test his faith in his Puritan belief system, accompanied by a guide who turns out to be Satan. The journey, of course, may actually be taking place in his troubled mind in the form of a dream vision, but for Goodman Brown, the experience is real. Young Goodman Brown's wife is Faith, whose name serves both to denote her role as wife and as an emblem of a 17th century Puritan's belief system. When she attempts to dissuade Goodman Brown from his journey, we learn that she, too, is troubled: "Dearest heart," whispered she, softly and rather sadly, when her lips were close to his ear, "pr'ythee, put off your j...

The slope of a line is a characterization of it's 'inclination'. A line with a high slope is very steep, while one that has a very low slope is almost horizontal. A negative slope would mean the line is going down from left to right (in a coordinate system) and a positive slope would mean going up.  In correlations, when a line is fit, a positive slope would mean a direct correlation where in an increase in one variable corresponds to a proportional increase in another; whereas a negative slope would indicate an inverse correlation. In mathematics, slope is usually defined as 'rise over run' - or the ratio between the change in the y-variable and the change in the x-variable (m = (\Deltay) / (\Deltax) ). As alluded to in the first two paragraphs, a slope can be used to determine the relationship between two variables. If the slope is high, that means a tiny change in the variable x results to a huge change in the variable y. This could mean that y is very sensitive ...

This is a very interesting topic. At first glance, these two stories do not appear similar. Their genres are completely different as well as the basic premise. Macbeth is a "historical" piece about kings and thanes, while The Road is a postapocalyptic survival story. A synthesis statement is essentially asking you to make some comparisons between the two stories. You are allowed to point out some differences, but I would focus on the similarities more than the differences. The synthesis statement is up to you, so it could draw quite a few comparisons. One comparison to make is that both stories are dominated by men. There are female characters—and some of them are important—but most of the dialogue and action is focused on men. These are stories about men. In both stories, the main character dies. These are fairly simple and concrete comparisons between the two stories, and I think you would struggle to write a strong paper on them. I recommend creating your synthesis stateme...

The table below shows the value of the volume V of water remaining in the tank (in gallons) after $t$ minutes. Suppose that a tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. $ \begin{equation} \begin{aligned} \begin{array}{|c|c|c|c|c|c|c|} \hline t (\text{min}) & 5 & 10 & 15 & 20 & 25 & 30 \\ \hline V(\text{gal}) & 694 & 444 & 250 & 111 & 28 & 0\\ \hline \end{array} \end{aligned} \end{equation} $ (a). If $A$ is the point (15,250) on the graph of V, find the slopes of the secant lines $AB$ when $B$ is the point on the graph with $t=5,10,20,2$5 and $30$. Slope of the secant line $AB$ at $t = 5$ slope = $\displaystyle \frac{694-250}{5-15} = -44.4$ Slope of the secant line $AB$ at $t= 10$ slope = $\displaystyle \frac{444-250}{10-15} = -38.8$ Slope of the secant line $AB$ at $t= 20$ slope = $\displaystyle \frac{111-250}{20-15} = -27.8$ Slope of the secant line $AB$ at $t= 25$ slope = $\displaystyle \...

In Fahrenheit 451, each of the three section headings acts as an allusion to the events that it covers. Part one, for example, is called "The Hearth and the Salamander." The hearth is symbolic of Montag's home life, and in this chapter, the reader learns that Montag is becoming increasingly frustrated with this part of his life, as we see through the strained relationship with his wife, Mildred. Similarly, the salamander is symbolic of Montag's occupation as a fireman, because this is the name they give to their fire trucks. Part two is called "The Sieve and the Sand," and this is an allusion to an incident that happened in Montag's childhood. Montag's cousin promised him a dime if he could fill a sieve with sand. Obviously, Montag failed in this task because it is impossible to stop the sand from falling through the sieve. Montag is reminded of this incident on his way to Faber's apartment. When he realizes that the messages contained in books a...

Solve $\displaystyle \frac{1}{r} + \frac{2}{1 - r} = \frac{4}{r^2}$ for $r$. $ \begin{equation} \begin{aligned} \frac{1}{r} + \frac{2}{1 - r} =& \frac{4}{r^2} && \text{Given} \\ \\ \frac{(1 - r) + 2(r)}{r - r^2} =& \frac{4}{r^2} && \text{Get the LCD of the left side} \\ \\ \frac{1 + r}{r - r^2} =& \frac{4}{r^2} && \text{Simplify the numerator} \\ \\ r^2 (1 + r) =& 4(r - r^2) && \text{Apply cross multiplication} \\ \\ r^2 + r^3 =& 4r - 4r^2 && \text{Apply Distributive Property} \\ \\ r^3 + 5r^2 - 4r =& 0 && \text{Combine like terms} \\ \\ r(r^2 + 5r - 4) =& 0 && \text{Factor out $r$, then eliminate} \\ \\ r^2 + 5r =& 4 && \text{Add 4} \\ \\ r^2 + 5r + \frac{25}{4} =& 4 + \frac{25}{4} && \text{Complete the square: add } \left( \frac{5}{2} \right)^2 = \frac{25}{4} \\ \\ \left( r + \frac{5}{2} \right)^2 =& \frac{41}{4} && \text{Perfect square} \\ \\ r + \frac{5}{2} =&...