Notes

Though Mary Shelley wrote  Frankenstein  nearly two hundred years ago, many of the themes of this novel are relevant to today's society. Let's consider the themes of nature and acceptance in society. To begin, the theme of nature is characteristic of Romantic literature.   The natural world offers both beautiful and harsh environments, endless variations which inspire awe. Romantic writers like Shelley emphasized the value of the natural world as a response to the effects of industrialization on society, which held connotations of forced conformity. To revel in the beauty of nature, even if only through the written word, was to "get back in touch" with the world and our own humanity.  This brings me to my next point—not all of the interactions between mankind and nature were, or  are,  pure and revitalizing in the way some Romantic writers portrayed them to be. Shelley confronts the theme of man versus nature through Victor Frankenstein's attempt to bring natural...

The answer to this question can be found in Dog Whistle Politics ' first chapter, "The GOP's Rise as 'the White Man's Party.'" Barry Goldwater was a Republican who, like George Wallace, saw the opportunity to harness the racist hostilities of the South to power his political ambitions. His political maneuvering as an Arizona senator helped drive the Republican Party to the far right, contributing to its transformation into the aforementioned "White Man's Party."  As López asserts in this chapter, Goldwater was "a walking embodiment of the Marlboro Man's disdain for the nanny state," while at the same time voting in favor of federal civil rights legislation in 1957 and 1960. His attitudes toward race quickly turned in 1961, when he realized that it was more beneficial to his career to "go hunting where the ducks are"; he began to leverage the division in racial politics of the parties, voting against the 1964 Civil Righ...

Bacteria are single celled organisms that have been around for millions of years. They belong to the Kingdom Bacteria. Since bacteria are single celled, they are a type of prokaryote, which means that they lack organelles and a nucleus. Bacteria come in three shapes: bacilli (rod shaped), cocci (spherical), and spirilla (spiral and corkscrew shaped).  Some bacteria have flagella (tails) attached to them for movement. Bacteria reproduce asexually though binary fission. This is when a bacterium has grown to nearly double in size, replicates its DNA, and then divides in half. Binary fission produces two identical daughter cells. Many bacteria are also able to exchange genetic information through conjugation. During conjugation, a hollow bridge forms between the two cells and genes move from one cell to the other. A virus is a particle of nucleic acid, protein, and sometimes lipids. Virus comes from the Latin word for poison. Viruses reproduce by infecting other cells. Viruses are consider...

In Act 5, scene 4, Malcolm describes the fact that Macbeth seems to want them to lay siege to his army at Dunsinane castle.  He says, "none serve with him but constrainèd things / Whose hearts are absent too" (5.4.13-14).  In other words, no one serves Macbeth any longer unless they have no choice, and, even then, those men do not serve him with their hearts.  He means that no one feels loyalty or love for Macbeth at this point, but he uses "hearts" to stand in for those emotions: this is an example of metonymy , when an author uses something associated with the thing he means for the thing itself.   Further, Siward uses personification when he says, "Thoughts speculative their unsure hopes relate, / But certain issue strokes must arbitrate" (5.4.19-20).  He is personifying "thoughts" as being able to have hopes and "strokes" as being able to arbitrate conflict.  What he means is that it is easy for them to sit around and have high hop...

When the police first arrive at the narrator's apartment, he is feeling supremely confident; he is so confident, in fact, that he brings in some chairs for the officers and places them directly over the spot where he's buried the old man's body.  He says, "I was singularly at ease."  However, the longer the officers sit there, the more nervous the narrator gets.  He hears a ringing in his ears that increases in volume until he begins to think that it is not inside his own head but outside.  He talks louder to cover it up.  He describes it as "a low, dull, quick sound -- much such a sound as a watch makes when enveloped in cotton," and this is precisely the way he described the sound he thought was the old man's heartbeat, just before the narrator killed him.  However, the old man is dead, and so the sound must be the narrator's own heartbeat, speeding up from his adrenaline.  The narrator grows suspicious that the officers suspect him of murder, ...

The issue of evil is the most prominent and discussed theme in Macbeth . The very first scene features three witches, representatives of supernatural corruption. They use hideous ingredients in their potions (including “finger of birth-strangled babe”); they conjure images of unpleasantness on earth. One question is whether the witches influence and create evil or if they simply predict it. These spirits “That look not like the inhabitants o' the earth, / And yet are on't” tell Macbeth that he shall be Thane of Cawdor and then king, a message that sets Macbeth on a bloody path. However, Banquo also learns that his “children shall be kings,” yet, unlike Macbeth, he either does not have time to plot their ascent or makes a moral decision to not do it. This indicates that Macbeth has some choice in the matter, in spite of his feeling as though he is driven by fate. We see Macbeth turn from brave hero into manipulative villain, suggesting that evil is subtle and ubiquitous. Lady Ma...

The Queen Mab speech, delivered in Act I, Scene 4 by Mercutio serves three purposes. First, it introduces the audience to Romeo's colorful and volatile best friend. His fantastical speech is full of amazing imagery as he weaves a tale of the "fairies' midwife" (originally from Celtic mythology) who travels into people's brains and makes them dream. At first the speech seems to be a simple improvisation meant to entertain the Montague men as they head to the Capulet party. He talks of a minuscule fairy who rides around in a "chariot" made from "an empty hazelnut." She makes lovers dream of love and lawyers dream of money. It is an endearing fantasy at first, but then it turns dark and edgy as Mercutio claims that this same "Queen" is also a vicious "hag" who "blisters" the lips of promiscuous ladies and makes soldier's dream of "cutting foreign throats." The speech does an excellent job of introducing ...

Though we often focus on the firestorm it ignited against slavery in the United States, Uncle Tom's Cabin  had a huge influence outside of its country of origin. According to David Reynolds' book covering the impact of  Uncle Tom's Cabin,  called  Mightier than the Sword,  Stowe's novel helped inspire revolutionary movements in Russia, Brazil, China and Cuba. Because of uncomfortable parallels between Southern U.S. slavery and serfdom in Russia, the book was initially banned in Russia, though people were able to get copies in French and German--and after the czar freed the serfs, it was available in Russia. It influenced Russian revolutionaries such as Lenin and radical reformers such as the writer Leo Tolstoy. It was, according to Reynolds, the number one bestseller across Europe in the nineteenth century. Charles Dickens, whose novels often focused on the plight of the poor in industrialized England, wished he had written the novel and Queen Victoria wanted to meet S...

Alice Walker's story "The Flowers"   is similar to Paul Haggis' Crash in the sense that both works explore the theme of racism and its effects on society. In "The Flowers," a little girl's innocence is shattered when she encounters the body of a man who has been lynched. After discovering the almost rotted remains of the noose, Myop lays down her flowers: to take the flowers home would be to ignore the import of what she has just seen. Thus, a joyously carefree afternoon becomes marred when the reality of Jim Crow America stares into the face of an innocent girl. In Crash , an African-American power couple (television director Cameron Thayer, and his wife, Christine) are harassed by racist LAPD officer, John Ryan. Meanwhile, Farhad (a Middle Eastern shop owner) and his daughter, Dorri, have to endure racially-tinged insults when they try to purchase a weapon at a gun store. The store owner is persuaded that Farhad has evil intentions, and he does not hes...

Edwards definitely uses pathos or an appeal to the emotions in his sermon. This characteristic rhetorical device is utilized to provoke strong emotions like fear, anger, and/ or despair in an audience. Experienced orators or preachers appeal to the emotions of their listeners to try to inspire them to enact changes in their lives. There are many places in Edwards' sermon where he tries to inspire fear in his audience. For example, he warns his listeners that the fires of hell are just about ready to consume them and that God is angry with more of them than they think. Yea God is a great deal more angry with great Numbers that are now on Earth, yea doubtless with many that are now in this Congregation, that it may be are at Ease and Quiet, than he is with many of those that are now in the Flames of Hell. . . The Wrath of God burns. . . Damnation don’t slumber, the Pit is prepared, the Fire is made ready, the Furnace is now hot, ready to receive. . . the Flames do now rage and glow. ...

Kit's grandfather owned a plantation in Barbados. He hired a man named Bryant to be the overseer of the plantation. The job of an overseer was to manage the estate and the slaves who worked on it. Over time, Kit's grandfather's health began to decline. As his health faded, he gave Bryant more responsibilities on the plantation. He did not monitor him as closely. Kit described what had happened the previous winter: Last winter Bryant sold off the whole crop and then disappeared. Probably he sailed back to England on the trading ship ( The Witch of Blackbird Pond , Chapter 3). Kit and her grandfather were shocked at Bryant's actions. Her grandfather had trusted him. They had depended on the money from the crops to run the plantation and to live on. After Bryant left, her grandfather's health continued to decline. He sank into debt, as he did not have the money from the crops to pay his bills. After her grandfather passed away, Kit sold everything they owned to repay h...

The protagonist is the main character of a literary work whose conflict sets the plot in motion. The antagonist is the character or force which struggles against or blocks the protagonist. In Hemingway's short story "Soldier's Home" the main character and protagonist is Harold Krebs. Krebs has recently returned from service as a Marine fighting in World War I. Judging by what the third person narrator tells the reader it could be said that Krebs suffers from what was then called "shell shock" and is now diagnosed as Post Traumatic Stress Disorder. The narrator admits that during the war, Krebs "had been badly, sickeningly frightened." Back home, Krebs is depressed and somewhat anti-social. His idea is to avoid complications, consequences and for "life to go smoothly." For a time he is able to do this. Eventually, however, the antagonist, in the form of his parents, especially his father who never actually appears in the story, look to for...

The human values articulated in the Declaration of Independence increased its appeal to the public. One of the most striking features of the Declaration of Independence was how it took a political issue and elevated it to a level that any person could appreciate. The document's opening line of "When in the course of human events" suggests that there are times when every person must make a conscious choice to be free or enslaved.   This appeal is further enhanced with language and values such as "all men are created equal" and that individuals are are able to enjoy "certain unalienable rights; that among these are life, liberty, and the pursuit of happiness."  In this inclusive language, the document appeals to the "everyman" colonist in Colonial America. The values in the Declaration of Independence speak to a human condition where people are forced to evaluate the conditions in their own lives.  While the context of the Colonial America cann...

Paris tells Lord Capulet that it is Monday on the day that he arranges Juliet’s marriage. The events of the play take place very quickly.  The entire play actually only takes place over the course of a few days, sadly.  Romeo and Juliet meet, marry, consummate the marriage, and die within a few days.  When the play opens, Juliet is going to be fourteen in a “fortnight and odd days” (a little over two weeks) (Act 1, Scene 3).  She doesn’t make it to that birthday.  The day that Capulet talks to Paris is Monday.  And bid her, mark you me, on Wednesday next-- But, soft! what day is this? PARIS Monday, my lord, CAPULET Monday! ha, ha! Well, Wednesday is too soon, O' Thursday let it be: o' Thursday, tell her, She shall be married to this noble earl. (Act 3, Scene 4)  Juliet does agree to marry Paris on Wednesday, although she does not want to, but instead she is buried on that day.  She arranges with Friar Laurence to fake her death and takes a special potion.  Her parents had no id...

They destroyed Old Misery’s house because it was there, and because mob mentality took over.   The boys in this story destroy the house for fun.  It is a way to pass the time.  It sounds very odd, but it was one of those situations where one person suggested the idea, they all went along with it, and they could not seem to stop.   Old Misery is a bit eccentric, hence the name.  His house was not in good shape to begin with.  After the bombings, he tried to rebuild his house as best he could.  However, he had a reputation as a cheapskate.  [It] was common knowledge that since the bombs fell something had gone wrong with the pipes of the house and Old Misery was too mean to spend money on the property. He could do the redecorating himself at cost price, but he had never learned plumbing.  One of the main reasons the gang became destructors is because of the new member, T.  The gang should have resented T, but instead they were enamored of him.  He told them that he had been inside Old Mi...

When Judy realizes that her golf ball has struck Mr. Hedrick in his stomach, Judy offers a terse, insincere apology, then defends herself by reminding the men that she had called out "Fore!" (which in golf is the short way of saying "Look out: here comes my ball!"). Using this defense is Judy's way of disavowing responsibility for having hurt Mr. Hedrick. Then, without showing any care or concern for the man, she immediately and cheerfully continues playing her golf game, an abrupt behavior that the narrator calls "malicious." Throughout the incident, Judy's attitude is casual, as if Mr. Hedrick's being hit in the stomach with her ball is merely an inconvenience to her . Here's that scene from the story: "You hit me in the stomach!" declared Mr. Hedrick wildly. "Did I?" The girl approached the group of men. "I'm sorry. I yelled 'Fore!'" Her glance fell casually on each of the men--then scanned the f...

Gulliver is exhausted when he finally reaches an island after his shipwreck and only wants to nestle down in the soft grass and sleep his tiredness away. He 'slept sounder than ever I remembered to have done in my life' and guessed it was for about nine hours because it was only just getting light when he finally woke up. Naturally he tried to get up, but he found he was not able to lift himself up from lying on his back because his limbs were tightly roped down to the ground and even his long hair was tied down in the grass. There were also ropes drawn across the rest of his body, from under his arms down to his thighs. Gulliver couldn't look anywhere but up as the day warmed up and the sun got hotter and hotter, hurting his eyes. He heard a confusing sound but couldn't look to find out what was causing it. Then he must have felt very tickly because something started to move gently around on his leg and soon he was able to crane his neck enough to just make out 'a ...

All humans share common characteristics that each have their own different versions. We call these individual versions of characteristics traits. For instance, all humans have the characteristic of skin color, but what your individual skin color is defines what trait you have (light, dark, etc.). We have something similar in the way we code for these traits in our DNA. All humans have genes in their DNA coding for different characteristics, such as how much melanin or skin pigment you create. Different versions of these genes are known as alleles and different combinations of alleles code for different traits. We all have a gene for hair color yet what allele we have gives us our individual trait, such as brown hair or blonde hair. I hope this answered your question! 

Given the sequence: 2, 8, 14, 20, ... The given sequence is an arithmetic sequence. The sequence is arithmetic because the common difference between each term is 6. In this sequence the common difference is 6, therefore let d=6. The first term, `a_1`   is 2, therefore  let `a_1=2` . The formula to find the nth term of an arithmetic sequence is `a_n=a_1+(n-1)d` Substitute in the `a_1`  and d then simplify the expression. `a_n=2+(n-1)(6)` `a_n=2+6n-6` `a_n=6n-4` Final Answer: The expression for the nth term of the sequence is `a_n=6n-4.`

In the exposition, the reader of "The Leap" learns that the narrator's mother, Anna Avalon, is a very resourceful woman, as well as a quick thinker. Central to the theme of this story is the mother's remark to her daughter that she would be  ...amazed at how many things a person can do within the act of falling. While it does feel as though time slows while one is mid-air, Anna Avalon means that ...in that awful doomed second [when the circus tent collapsed], she could think, for she certainly did. When lightning struck the main pole of the circus tent, her husband Harry, who was toppled forward from his swing as the tent buckled swept past her, Anna of the Flying Avalons could have caught his ankle and fallen with him, but, instead, she changed direction by twisting her body toward a heavy wire which she grabbed and held despite the burns to her hands. Three people died this night, but Anna Avalon survived because of her quick thinking. She opted to live rather than ...

It is difficult to know exactly what an Elizabethan audience would have thought, but there would have been prejudices and fears about “Moors” like Othello. Perhaps racism would have made viewers initially side with Brabantio, who cannot comprehend why his daughter Desdemona would marry Othello “If she in chains of magic were not bound.” The first scene of Othello refers to the protagonist as “the Moor” and features several of the most racist characters in the play. Roderigo and Iago plot against him and attempt to turn Brabantio against the man who eloped with Desdemona. However, when Othello actually appears, he speaks with confidence and calmness. It becomes apparent that he is well-respected, in spite of the previous racist remarks. Othello and Desdemona explain “what drugs, what charms, / What conjuration and what mighty magic” made her fall in love with him. It would certainly be a stereotype that a foreigner like Othello would be superstitious, but Othello is Christian and does ...

In Chapter Nine of Suzanne Collins' The Hunger Games, Katniss is still preparing for the competition. Effie trains Katniss to walk in heels and a gown, while Haymitch works on her interview skills and various emotional intonations; no matter how hard these two work, they cannot seem to make Katniss likable for an audience. Later that night, Katniss throws a fit in her room and smashes some dishes, cutting herself in the process. An Avox (who Katniss remembers as a girl she failed to save while hunting in the forest one day) appears to help clean up the room and put Katniss to bed. Katniss apologies to the girl for letting her be punished. At her fitting the next day, Cinna (Katniss' stylist) advises Katniss to be herself during the interview. When Caesar Flickerman interviews Katniss on live television that night, she speaks of her loyalty to Prim and the talent of Cinna. It is not until Peeta takes the stage, however, that the real shock happens: Peeta confesses that he has a...

Framton Nuttel knows nothing at all about the Sappleton family. He is only calling on them because he was given a letter of introduction by his sister, who seems to have known little about them herself. Vera plans to tell him her ghost story--but first she has to make sure that he is a newcomer to the region and doesn't have any prior knowledge of her family. She asks two direct questions. "Do you know many of the people round here?"  "Hardly a soul," said Framton.  "Then you know practically nothing about my aunt?" pursued the self-possessed young lady. "Only her name and address," admitted the caller.  This sounds like the kind of innocuous conversation a hostess might initiate, but the information is important to Vera. It is also important expository information for the reader. The reader must be informed that Framton hasn't heard about any family tragedy such as Vera goes on to describe. Saki could have conveyed this information throu...

The point of this article is that while new technology can help improve public health and medicine in developing countries, social and economic changes in households can also play a vital role in improving public health in these areas. In order to help health outcomes, new technologies must be used correctly and consistently in households in developing countries. The model used in this article employs different fields in social science to examine how households use their resources and direct their behaviors to learn about and use technologies to restore or promote the health of their members. This model puts households, not hospitals or clinics, at the center of the delivery of health-promoting and health-restoring technologies. Households exist in a larger environment that includes community-wide economic and social conditions such as access to clean water, services, and transportation, and the household is also affected by the education, income, and social status of its members. Hous...

A SWOT analysis is a business tool designed to aid in the decision making process by forcing an analysis of four critical areas; Strengths, Weakness, Opportunity and Threats.  It can help a business engage in niche placement, evaluation of current models and decision making process for investments. Strengths.  Evaluating business strengths is the first component.  Typically, strengths and weaknesses are considered internal operation factors.  The organization has a tremendous amount of control of them. What does the business do well?  How is it unique?  What plans do you have to mitigate problems? Weakness.  Weakness is the opposite of the company's strengths.  These first two categories play off each other to reveal additional strengths or weaknesses. What could the company improve? What does the organization not do well? What has caused problems in the past? Opportunity.  It can be tempting to over-inflate this category with hopes versus realistic goals.  It is important to remem...

`sum_(n=1)^oo n/(n+1)` To verify if this infinite series diverges, apply the Divergent Test. In the Divergence Test, it states that if the limit of  `a_n` is not zero, or does not exist, then the sum diverges. `lim_(n->oo) a_n != 0`      or     `lim_(n->oo) = DNE`   `:.` `sum ` `a_n`  diverges So, taking the limit of `a_n` as n approaches infinity yields: `lim_(n->oo) a_n` `=lim_(n->oo) n/(n+1)` `=lim_(n->oo) n/(n(1+1/n))` `=lim_(n->oo) 1/(1+1/n)` `=1/(1+0)` `=1` Since the result is not equal to zero, therefore, the series is divergent .

In "Shooting an Elephant," the colonial officers are concerned about the elephant. The sub-inspector who calls Orwell, for example, says the elephant is "ravaging" the area and he wants action to be taken.  In contrast, the locals are not especially concerned by the elephant, even when it kills an Indian man. They are more interested in the thrill of the chase and the prospect of receiving some meat: It was a bit of fun to them, as it would be to an English crowd; besides they wanted the meat. To provide additional contrast, Orwell's narrator believes the elephant will eventually calm down and that there is no reason to harm it: I thought then and I think now that his attack of "must" was already passing off; in which case he would merely wander harmlessly about until the mahout came back and caught him. Moreover, while shooting the elephant is "a bit of fun" for the locals, it creates a serious ethical dilemma for Orwell: he has no desire to...

Although many people would like to claim that we are living in a "post-racial" world, the fact of the matter is that the United States continues to host horrifically racist and prejudiced behaviors and attitudes. We can see this everywhere from the fight in the South to maintain the use of Confederate flags (a Civil War symbol of those fighting to protect slavery) to Presidential nominee Donald Trump's message to "build a wall" to keep out "terrorists" and "rapists" (his discriminatory descriptors of Syrian refugees and Mexican immigrants) to the spree of police shootings of young Black, Latino, and Native American individuals. Affirmative action was introduced to the United States in the 1960s to prevent discrimination based on race, creed, color, or national origin. There are many advantages of these policies. They ensure that space is carved out in  historically privileged academic systems for minorities, and they promote diversity. They a...

Pahom had numerous opportunities to stop his quest for more land when he already had a substantial lot to his name. He forgot where he came from and was blinded by the luster of extreme wealth. The author used Pahom to express his idea about human nature in relation to wealth and power. It is human to aspire for better and have ambition to succeed. However, ambition and aspiration, if not checked, would lead to a person’s downfall and destruction. Pahom believed that more land would solve his issues, and the devil took advantage of his desires. The devil turned Pahom’s ambitions into greed, which eventually led to his demise. Pahom accepted the deal to walk on the land for a day to mark his allocation. However, he allowed greed to take over and tried to cover more distance than he could manage. Pahom died of exhaustion, leaving behind all the land he ever wanted.

Indefinite integrals are written in the form of `int f(x) dx = F(x) +C`  where: `f(x)` as the integrand            `F(x)` as the anti-derivative function             `C `  as the arbitrary constant known as constant of integration For the given problem `int sec^2(x/2)tan(x/2) dx ` has a integrand in the form of a trigonometric function. To evaluate this, we may apply u-substitution by letting `u = tan(x/2)` .  Then, the derivative of `u` is: `du = sec^2(x/2) *(1/2) dx`  Rearrange this into `2 du= sec^2(x/2) dx` . Plug-in the values on the `int sec^2(x/2)tan(x/2) dx `  , we get: `int sec^2(x/2)tan(x/2) dx =int u *2 du`  Apply the basic properties of integration: `int c*f(x) dx= c int f(x) dx` . `int u *2 du =2int u du`   Apply the Power Rule for integration:`int (x^n) dx = x^(n+1)/ (n+1) +C` . `2int u du =2* u^(1+1)/(1+1) +C`                `= 2 *u^2/2+C`                `= u^2 +C` Plug-in `u = tan(x/2)` on `u^2 +C` , we get the indefinite integral as: `int sec^2(x/2)tan(x/2) dx =(tan(x/...

The Nile River has always been important to Egyptians.  This was especially evident in ancient Egypt.  The ancient Egyptians relied heavily on the Nile River for agriculture and trade.  The Nile River helped the ancient Egyptians to thrive. Each year, the Nile River flooded.  This flooding saturated the usually dry soil.  Silt deposits developed and the river waters helped to create fertile soil.  Farmers were able to grow crops in abundance because of the Nile River. The Nile River was also essential for trade.  The river flowed north and emptied into the Mediterranean Sea.  Merchants sailed with their goods from Egypt and into the Mediterranean.  From the Sea, merchant ships could travel to southern Europe and western Asia.  They could also bring goods from Europe and Asia back down the Nile River to Egypt.

In the Poetics , Aristotle argues that the impulse to poetry is universal, rather than grounded in particular cultural circumstances. In fact, for Aristotle, the universality of poetry and its grounding in universal instincts are what makes it more valuable and in a sense truer than history, as history tells of what is local and specific and poetry of universal truths about human nature. The first of the two instincts Aristotle discusses is the instinct for imitation. Even young children enjoy and engage in forms of mimicry, and humans universally seem to find imitation (Greek: mimesis ) pleasurable. The second instinct that Aristotle notes is that for rhythm and harmony. All societies seem to enjoy some forms of music. It is important in the context to remember that Aristotle is discussing ancient Greek poetry, which was performed with musical accompaniment, unlike modern poetry which is normally read privately and silently rather than heard.

Maclaurin series is a special case of Taylor series that is centered at a=0 . The expansion of the function about 0 follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0))/(1!)x+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +...` To determine the Maclaurin polynomial of degree n=5 for the given function `f(x)=sin(x)` , we may apply the formula for Maclaurin series. To list `f^n(x)` , we may apply the derivative formula for trigonometric functions: `d/(dx) sin(x) = cos(x)`  and `d/(dx) cos(x) = -sin(x)` . `f(x) =sin(x)` `f'(x) = d/(dx) sin(x)`            `= cos(x)` `f^2(x) = d/(dx) cos(x)`            `= -sin(x)` `f^3(x) = d/(dx) -sin(x)`            `=-1*d/(dx) sin(x)`            `= -1 * cos(x)`            `= -cos(x)` `f^4(x) = d/(dx) -cos(x)`             `=-1*d/(dx) cos(x)`             `= -1 * (-sin(x))`             `= sin(x)` `f^5(x) = d/(dx) sin(x)`           `= cos(x)` Plug-in `x=0 ` on each `f^n(x)` , we get: `f(0) =sin(0) =0` `f'(0)= cos...

Although many of the lines from Sonnet 116 are simply abstract statements about love, we do find several examples of imagery: 1. "That looks on tempests, and is never shaken;" Here, the speaker is saying that love is someone (or something) that, like a lighthouse, looks right at a terrible storm and doesn't move or show fear. The image of the storm contrasted with stillness is a powerful one that conveys the strong, steady power of love. 2. "It is the star to every wandering bark," In the line above, the speaker conjures for us the image of a guiding star helping a wandering ship find its way in the darkness. Aside from providing a lovely and concrete mental image, the notion of a ship guiding a star implies the stability, guidance, and certainty that love offers. 3. "...rosy lips and cheeks / Within [Time's] bending sickle's compass come:" Rather than saying something vague like "youth and beauty," the speaker opts for the image of r...

Fortunato offended Montresor numerous times in the past, and Montresor seeks revenge by burying him alive. After running into Fortunato, who had been drinking excessive amounts of wine throughout the night, Montresor invites him over to try some Amontillado, which is a very rare wine. Fortunato enthusiastically follows Montresor through his family's catacombs in order to try the Amontillado wine. While traveling through the catacombs, Fortunato continues to drink until he walks into a small room where Montresor shackles him. Fortunato is helpless and cannot escape as Montresor begins to build a wall out of stones until Fortunato's voice cannot be heard. Fortunato ends up dying behind the stone wall in the catacombs, and Montresor says he has been buried for fifty years.

Hurston's essay "How It Feels to Be Colored Me" conveys strength, empowerment, and pride.  Throughout "How It Feels to Be Colored Me," Hurston uses descriptive language to help send her message. For example, toward the middle of the essay, she states:  But I am not tragically colored. There is no great sorrow dammed up in my soul, nor lurking behind my eyes. I do not mind at all. I do not belong to the sobbing school of Negrohood who hold that nature somehow has given them a low-down dirty deal and whose feelings are all hurt about it.  Hurston is comparing herself to other "colored" people. Other people might be angry or depressed at their status in life; Hurston refuses to have those thoughts and feelings. Instead, she is determined to show a quiet pride in herself because, ultimately, there is nothing wrong with her.  Another strong moment where Hurston uses descriptive language is when she is at the music club with a white friend. In that part, she...

While some debate the use of the term, both Cornelius Vanderbilt and Andrew Carnegie are prime examples of people labeled robber barons. Like other very wealthy and powerful businessmen in later 19th century U.S. society, they used their economic dominance and control of important industries in ways that many observers considered unethical and contrary to the principles of U.S. democracy. To some eyes, they behaved more like rampaging medieval warrior barons than good down-to-earth American patriots. They set up monopolies, employed unfair competitive practices to crush their business rivals, bought political influence to protect their interests, and lived in multiple palatial homes while badly underpaying their workers. They were often depicted as greedy and ruthless in their pursuit of profit at all costs. 

Gretchen and her brother Raymond help Squeaky realize that winning is not always important.  Throughout most of the story, Squeaky pits herself against others, feeling that because they are seemingly antagonistic to her, she must defeat them by winning races. For instance, she distrusts Gretchen's and any other girl's smile, declaring, "...girls never really smile at each other because they don't know how...." In addition, she has fought with Rosie and finds her antagonistic when she tells Squeaky that she will not win the race,  "I don’t think you’re going to win [the May Day race] this time....” Squeaky is also very defensive of her brother and resents anything that others say to him if it is derogatory. When one of the girls asks Raymond, “What grade you in now, Raymond?” Squeaky quickly retorts,  “You got anything to say to my brother, you say it to me, Mary Louise Williams of Raggedy Town, Baltimore.” It is not until she enters the competition of the May...

There seems to be a pretty deep level of understanding between the speaker of the poem and his horse.  It's likely that they spend so much time together, typically in the same familiar places, that they both know the routine so well that they really have to communicate relatively little in order to do what they need to do.  But now, in this poem, the speaker says, "My little horse must think it queer / To stop without a farmhouse near" (lines 5-6).  They have made a stop that is off their beaten path, in the woods, not where they typically stop.  The narrator knows his horse so well that he anticipates the horse's response to straying from their routine.  Then, when the horse shakes his head, the narrator attributes this to the horse's confusion about the unexpected stop.  The narrator says, "He gives his harness bells a shake / To ask if there is some mistake."  The speaker somewhat personifies the horse, suggesting that he is asking the speaker a quest...

There are two components of the motion here: The proper motion, which we see as horizontal because it is moves the star neither closer nor further relative to us, and the redshift, which is due to the expansion of the universe and also the star's inherent movement toward or away from us. These are two perpendicular components of a vector that comprises the star's velocity relative to our solar system. Let's start with the proper motion. For a star at distance `r` away from us with a proper motion in radians of `{d theta} / {d t}`the horizontal velocity is: `v = d/dt[r tan theta] = r sec^2 theta {d theta}/{d t} approx r {d theta}/{d t}` Since the angles are so small (arcseconds), we don't actually need to worry about the secant term, which is very close to 1. The important thing is to convert to radians; there are 3600 arcseconds in a degree, and `180/pi` degrees in a radian. `10.33 {arcsec}/{yr} * ({1 deg}/{3600 arcsec})({pi rad}/{180 deg}) = 5.01*10^-5 {rad}/{yr}` Then...

While a literal meaning for the selection of the name is not something Saki ever explains in detail, the reader can make several connections, drawn by a combination of a play on sounds, words, and traits that help further distinguish the Framton Nuttel's character traits. First, we must note that there is no physical description of Framton, except that he suffers from a nervous condition that renders him awkward and unable to conduct himself with the social decorum expected by one who is going to ask for an act of kindness from a stranger. He is odd from the very start, when he "endeavoured to say the correct something which would flatter the niece of the moment without discounting the aunt that was to come." Based on just that, we can say that the man is frazzled enough to go on a frenzy at any moment. We could assume that words such as frenzied, frazzled, and frumpy are backdrops to the name "Frampton." As far as the last name "Nuttel" goes, it is ge...

New York has been called the most culturally rich and diverse city in the world. While there is no question the cost of housing has risen dramatically in the last few years, it is still true that New York City is a hub of cultural diversity and social excitement, as well as a leading center for commerce. When European immigrants began arriving in large numbers during the 19th century, New York earned its reputation as a central location for immigration. Ellis Island became a stopping point for Europeans who wanted to make a new life in America, and neighborhoods were often characterized by a densely-populated group of people from similar ethnic and national backgrounds. These neighborhoods, formed to help immigrants find commonality as they struggled to adapt to a new way of life, became known as "ghettos" and sometimes took on names connected to their cultural heritage, such as Little Italy and Chinatown. These neighborhoods still go by these names, and foods, festivals, and...

Santiago is an elderly fisherman. Although he is skilled, experienced, and patient, he has not caught a fish for 85 days. He owns his own small skiff and works as a freelance fisherman, being paid for individual catches rather than being on salary as part of a fleet. He is generally liked and admired by the villagers, who are willing to supply him with free food and generally view him as a good person. His long period without catching fish makes him "salao, which is the worst form of unlucky," which causes Manolin's parents to wish their son would not fish with him.  Manolin was Santiago's apprentice and looks up to and loves the old man. Santiago is a mentor to Manolin, and loves him like a son. Part of Manolin's coming of age is his evolution from a child who is taught by the old man into a young man who acts as a caregiver for his aging mentor. 

a)   How do the eventual resolutions of disputes between Cephu and Kelemoke instruct the read further in the pygmy worldview found in the chapter, "The Giver of the Law”? Kelemoke’s incestuous act is clearly seen as a serious breach of trust within the pygmy community. Although they do not have written laws, they do have a high sense of morality and what constitutes societal rights and wrongs. After initial anger and threats of violence, the pygmies essentially wait to see if Kelemoke is able to learn from his own mistakes. The elders leave it up to him when to return from his forest exile and the community members decide in their own way when and how to accept Kelemoke back into the fold. The pygmies understand that Kelemoke’s role as a hunter is indispensable, but he also seems to realize that he needs to learn from his transgressions in order to regain the trust and compassion he seems to crave. The pygmies seem to display a deep knowledge of individual accountability and trust...

When making text-to-self and text-to-world connections, it is almost inevitable to experience the life of the main character vicariously, and connect our lives to the myriad of life lessons that could be learned from the story. In Silas Marner we witness the life of a man who goes through some very sad vicissitudes and still manages to exist within the shambles. Silas does not realize that he is able to survive against adversity, but he learns it toward the end. This being said, several life lessons can be learned from the novel. 1. Nothing lasts forever- Like most of us, Silas manages to create comfort zones in which he feels not just safe, but also trusting that he "had it made." One of these life periods was lived at Lantern Yard, where he was a community leader, a friend, a religious man, and was engaged to be married. He was reasonably happy there, feeling that this would be his life forever. Little did he know that he would be framed for robbery by his so-called best f...

Old Fold Mountains are mountains that were formed over 70 million years ago. Their tops are no longer jagged, as a result of erosion over the years. They also exhibit a decline in their vertical growth due to the cessation of movement by the tectonic plates underneath. The Aravalli Range is the oldest fold mountain range in India. Its highest peak, rising 5,650 feet, is Guru Shikhar, which is located on Mount Abu in Rajasthan. The range is stated to have developed after the collision between the pre-Indian subcontinent and the Eurasian Plate during the post-Precambrian event known as the Aravalli-Delhi orogeny.  The range is home to a number of rivers such as the Banas and Luni Rivers. It is also rich in minerals such as Copper, but mining is restricted in some areas.