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Showing posts from April, 2012

List descriptive details that help you visualize the marketplace in which the astrologer conducts his business, in the story "An Astrologer's Day"

The marketplace and its vendors is described in fairly vivid detail in "An Astrologer's Day" by R. K. Narayan. India is often described by first time visitors as a place of many colors, smells and textures, especially the outdoor markets where vendors of food, crafts and clothing sell their wares. The astrologer wears a "saffron-colored turban" wrapped around his head and "this color scheme never failed." He says customers are drawn to him "as bees are attracted to cosmos or dahlia stalks." Before we even see the marketplace we see that it will be a place of visual splendor, based upon the description of the astrologer's preparations. The place itself is a bustle of activity. The astrologer's location in the market is "under the boughs of a spreading tamarind tree." One visual detail that seems important and which makes it possible to imagine how it looks is the fact there there is no municipal lighting, so vendors must prov...

Precalculus, Chapter 1, 1.2, Section 1.2, Problem 64

Find the intercepts of the equation $y = x^4 - 1$ and test for symmetry. $x$-intercepts: $ \begin{equation} \begin{aligned} y =& x^4 - 1 && \text{Given equation} \\ 0 =& x^4 - 1 && \text{To find the $x$-intercept, we let } y = 0 \\ 1 =& x^4 && \\ \pm 1 =& x && \end{aligned} \end{equation} $ The $x$-intercepts are $(-1,0)$ and $(1,0)$ $y$-intercepts: $ \begin{equation} \begin{aligned} y =& x^4 - 1 && \text{Given equation} \\ y =& (0)^4 - 1 && \text{To find the $y$-intercept, we let } x = 0 \\ y =& -1 && \end{aligned} \end{equation} $ The $y$-intercept is $(0,-1)$ Test for symmetry $x$-axis: $ \begin{equation} \begin{aligned} y =& x^4 - 1 && \text{Given equation} \\ -y =& x^4 - 1 && \text{To test for $x$-axis symmetry, replace $y$ by $-y$ and see if the equation is still the same} \end{aligned} \end{equation} $ The equation changes so it is not symmetric to the $x$-axis $y$-axis: $...

Calculus of a Single Variable, Chapter 9, 9.4, Section 9.4, Problem 8

The direct comparison test is applicable when suma_n and sumb_n are both positive series for all n such that a_n If sumb_n converges , then suma_n converges, If suma_n diverges , then sumb_n diverges Given the series is sum_(n=1)^oo1/sqrt(n^3+1) Let a_n=1/sqrt(n^3+1) and b_n=1/sqrt(n^3)=1/n^(3/2) 1/sqrt(n^3)>1/sqrt(n^3+1)>0 for n>=1 The series sum_(n=1)^oo1/n^(3/2) is a p-series with p=3/2 The p-series sum_(n=1)^oo1/n^p converges if p>1 and diverges if 0 As per the p-series test the series sum_(n=1)^oo1/sqrt(n^3) converges, so the series sum_(n=1)^oo1/sqrt(n^3+1) as well, converges by the direct comparison test.

What is the climax of the story "Little Things Are Big"?

The climax of this story occurs when the narrator decides not to help the woman with her children or her luggage. The entire story has been building up to this point, with the narrator grappling with an internal conflict between his culture and upbringing, which dictated that he should be offering his assistance to this stranger, and his common sense, which told him that because he was Puerto Rican and had black skin, any offer to help may be perceived as a threat. The excitement of this great short story reaches a crescendo at this moment, because the audience has, by this point, become emotionally involved in this story and wants to know whether courtesy will emerge victorious over racist rigidity. In the story, “Little Things are Big,” the climax is the point when the narrator is faced with the dilemma of a choice between offering his help to a white lady and walking past her leaving her in her predicament. It is quite late after midnight. In the train, there is a young lady with th...

Intermediate Algebra, Chapter 2, Review Exercises, Section Review Exercises, Problem 74

Evaluate $ak + bt = 6r$ for $k$ $ \begin{equation} \begin{aligned} ak + bt - bt &= 6r - bt && \text{Subtract $bt$ from each side}\\ \\ ak &= 6r - bt && \text{Evaluate}\\ \\ \frac{ak}{a} &= \frac{6r - bt}{a} && \text{Divide each side by } a\\ \\ k &= \frac{6r - bt }{a} && \text{Simplify} \end{aligned} \end{equation} $

Why is it significant that Four nicks Tris's ear during the knife-throwing exercise?

When Tris accuses Four of nicking her ear on purpose, he cryptically retorts, "You know, I’m getting a little tired of waiting for you to catch on!” Although Four does not directly address Tris's complaint, we can deduce his motives from his interactions with her. From the beginning of the initiation program, Tris's unique characteristics quickly draw Four's interest and scrutiny. During a knife-throwing exercise, Tris stands up for Al. Although she does not know it, her actions betray her divergence. It is very likely that Four is first alerted to her unique qualities at this point. Later, Four’s suspicions are confirmed when he observes Tris’s reactions during a fear simulation practice. Since he knows that Eric hunts divergents, Four also understands the danger Tris is under. In nicking her ear, Four does two things. First, he satisfies Eric's sadistic desire to see Tris punished. Second, he demonstrates his supposed impartiality to Tris and deflects attention a...

Write a summary of Chapter 1 of the novel The Boy in the Striped Pajamas.

Bruno, the nine-year-old son of a Nazi commander, arrives home after a day at school to find the house being packed up. At first, he's concerned he's being sent away, but quickly notices that his mother's things are also being packed. He asks his mother about this change, and she confirms that the family is embarking on a "great adventure." Bruno learns that they are moving for his father's work. The Fury, as Bruno calls him, sees a lot of potential in his father, and is sending them someplace important to conduct a key job. Bruno doesn't understand his father's job and has little perspective for what this means. Bruno is upset as he learns more about the move. Realizing he will be traveling far away and not returning to school causes a great deal of stress. He will have to say goodbye to his friends, Karl, Daniel, and Martin. His mother tries to reassure him but eventually tells Bruno that they don't have a choice. Bruno reflects on everything he ...

In what sense are the US and China “rivals” today? When can “rivalry” be a good/bad thing?

The rivalry between the United States and China stems from the recent emergence of China as a great power on the world stage. Following the Cold War and the dissolution of the Soviet Union, the United States emerged as the sole superpower in the world. Superpower, in this context, means a nation or state with the ability to exert incredible levels of influence over the rest of the world, and project power, both hard (military) and soft (economic and cultural) around the world. The United States clearly fits this criteria, with its ability to wage wars simultaneously around the globe and its relatively strong control of the United Nations, as well as its leadership role among its allies in military organizations such as NATO and economic organizations such as G7. Recently, with developments leaning closer to nationalism rather than globalism, the United States has been said to be diminishing its role in soft power (though hard power, unarguably, is growing), though this tends to be grea...

Where did most enslaved Americans live in North America?

In 1860, the state of Virginia had the largest number of enslaved Americans, at 490,850, followed by the states of Georgia, Mississippi, and Alabama, each of which had more than 400,000 slaves. These were all states with a strong base of cotton-growing, a labor-intensive form of farming that relied on slave labor to enrich the plantation owners. The explosion of cotton growth after the invention of the cotton gin by Eli Whitney in 1793 dismayed those Americans who had hoped that the institution of slavery would gradually wither away, especially after the relatively new country of the United States failed to abolish it. It would take the Civil War to finally sweep away an institution many had objected to since the founding of the United States.

Why does the miller ask Beetle if she has gone daft?

Jane, the wicked midwife, is shouting at poor Beetle again. Having lost another one of her few remaining teeth and having also broken her ankle, the old crone is in a foul mood, and she throws copper pots and cooking spoons about the cottage. She takes out her growing anger on poor Beetle—except for the fact that she is no longer called Beetle, says Beetle; her name is now Alyce. On hearing this, Jane splutters with contempt. The very idea of a young waif found on a dung-heap having such a delightful name is simply way too ridiculous for words. As the nasty old midwife continues throwing pots at her, Alyce figures it is best to go outside. Outside, in the summer morning, Alyce comes across the cat that she likes to pat and stroke. Now that she has finally plucked up the courage to say her new name out loud, Alyce wants everyone and everything to hear about it, even the cat. As the cat playfully rubs up against her, Alyce tells the cat that she wants to know what her name is. Alyce then...

Single Variable Calculus, Chapter 3, 3.2, Section 3.2, Problem 1

The graph of $f$ is given. Estimate the value of each derivative then sketch the graph of $f'$. a.) $f'(-3)$ Referring to the graph, the approximate value of $f'(-3)$ is $1.5$ b.) $f'(-2)$ Referring to the graph, the value of $f'(-2)$ is $1$ c.) $f'(-1)$ Referring to the graph, the value of $f'(-1)$ is d.) $f'(0)$ Referring to the graph, the value of $f'(0)$ is $-4$ e.) $f'(1)$ Referring to the graph, the value of $f'(1)$ is f.) $f'(2)$ Referring to the graph, the approximate value of $f'(2)$ is $1$ g.) $f'(3)$ Referring to the graph, the approximate value of $f'(3)$ is $1.5$

College Algebra, Chapter 7, 7.4, Section 7.4, Problem 34

Solve the system $\left\{\begin{equation} \begin{aligned} 6x + 12y =& 33 \\ 4x + 7y =& 20 \end{aligned} \end{equation} \right.$ using Cramer's Rule. For this system we have $ \begin{equation} \begin{aligned} |D| =& \left| \begin{array}{cc} 6 & 12 \\ 4 & 7 \end{array} \right| = 6 \cdot 7 - 12 \cdot 4 = -6 \\ \\ |D_{x}| =& \left| \begin{array}{cc} 33 & 12 \\ 20 & 7 \end{array} \right| = 33 \cdot 7 - 12 \cdot 20 = -9 \\ \\ |D_{y}| =& \left| \begin{array}{cc} 6 & 33 \\ 4 & 20 \end{array} \right| = 6 \cdot 20 - 33 \cdot 4 = -12 \end{aligned} \end{equation} $ The solution is $ \begin{equation} \begin{aligned} x =& \frac{|D_x|}{|D|} = \frac{-9}{-6} = \frac{3}{2} \\ \\ y =& \frac{|D_y|}{|D|} = \frac{-12}{-6} = 2 \end{aligned} \end{equation} $

How does the horse feel about wearing riding gear?

After an idyllic existence as a foal, the time has come for Black Beauty to make the difficult transition to adulthood. At the start of chapter 3, Black Beauty has reached the age of four. Squire Gordon comes down to the field to take a good look at the horse. After a close examination, he concludes that the time is right for Black Beauty to be broken in. This means he needs to be taught how to wear a saddle and bridle. Black Beauty's used to wearing a halter and a headstall, but a bit and a bridle are a whole different matter. Having a bit in his mouth is a horrible experience for the young horse; it's not very nice having a piece of cold hard steel the width of a man's finger shoved into your mouth. Even worse, the bit's secured by uncomfortable straps that fit tightly around the nose, chin, and throat. But Black Beauty soon gets used to it. He knows that his mother and the other horses have to wear a bit and bridle; and the master was ever so careful when putting the...

What is the summary of After the First Death by Robert Cormier?

Robert Cormier's After the First Death is a young adult suspense novel written in 1979 that revolves around a school bus that is hijacked by ruthless terrorists. The bus is headed to summer camp and is being driven by a young high school student named Kate. The four hijacking terrorists, whose names are Miro, Antibbe, Artkin, and Stroll, ruthlessly announce that they kill a child for each time the police attempt to intervene. When Miro, one of the youngest of the terrorists is told to murder Kate, he hesitates. Meanwhile, the children are given candy laced with a sleeping drug in order to keep them calm and quiet. One of the children accidentally overdoses from this drug and dies, and the killing of Kate is postponed so she is able to help take care of the now-panicking children. Kate, thinking like the star of an action film, decides to attempt to drive the bus off a bridge. Her plan is unsuccessful due to the bus stalling, and Kate begins to panic. Once the terrorists' leader...

int_0^(1/4) xln(x+1) dx Use a power series to approximate the value of the integral with an error of less than 0.0001.

From the basic list of power series, we have: ln(x) =sum_(n=0)^oo (-1)^(n) (x-1)^(n+1)/(n+1)          = (x-1)-(x-1)^2/2+(x-1)^3/3 -(x-1)^4/4 +... We replace "x " with "x+1 " to setup: ln(1+x) =sum_(n=0)^oo (-1)^n ((x+1)-1)^(n+1)/(n+1)                =sum_(n=0)^oo (-1)^n x^(n+1)/(n+1)                =x-x^2/2+x^3/3 -x^4/4+... Note: ((x+1)-1) = (x+1-1) = x Then, x ln(1+x) =sum_(n=0)^oo (-1)^n x^(n+1)/(n+1) *x                    =sum_(n=0)^oo (-1)^n x^(n+2)/(n+1)   Note: x^(n+1) * x = x^(n+1+1) =x^(n+2) Applying the summation formula, we get: x ln(1+x)= x*[x-x^2/2+x^3/3 -x^4/4+...]                   or                   = x^2 -x^3/2+x^4/3-x^5/4 +... Then the integral becomes: int_0^(1/4) xln(x+1) = int_0^(1/4) [x^2 -x^3/2+x^4/3-x^5/4 +...]dx To determine the indefinite integral, we integrate each term using the Power Rule for integration: int x^n dx= x^(n+1)/(n+1) . int_0^(1/4) [x^2 -x^3/2+x^4/3-x^5/4 +...]dx = [x^3/3 -x^4/(2*4)+x^5/(3*5)-x^6/(4*6) +...]_0^(1/4) = [x^...

What observations help us determine whether a chemical reaction has taken place?

There are several observations that can be made to determine if a chemical reaction has occurred. The first is a change in temperature. Heat can be absorbed (endothermic reaction) or released (exothermic reaction) which results in a temperature change. This can be noted with a thermometer. Reactions can also have a color change. A change in color represents a chemical reaction. Another observation is if there is a smell or odor after the reaction takes place. When a reaction takes place, gases can sometimes be removed from the system. This can be observed by the formation of bubbles. Another observation is the formation of a precipitate. This is a solid that forms out of solution. When a solute is dissolved in a solution, a chemical reaction took place. Lastly, if there is a change in pH a chemical reaction took place. This will need to be tested with pH strips.

In what ways do the two women's emotional and psychological struggles, in relation to the experience of the shelter, aggravate the racial conflict between them? How did it help to build a bond between them?

The bond develops between Twyla (the black girl) and Roberta (the white girl) as a result of how they are treated by the other orphans. Both of the girls' mothers are still alive, therefore they "[aren't] real orphans with beautiful dead parents in the sky." Both, particularly Twyla, whose mother "danced all night," retain the glimmer of hope that someone will come get them. In addition, both Twyla and Roberta failed subjects in school. Roberta also has the kind habit of leaving "whole pieces of things on her plate" for Twyla, who is undernourished, to eat. The bond develops out of loneliness, things shared in common, and their isolation from the other orphans and their teachers. This is particularly interesting in light of the prejudice that both girls have learned. Twyla's mother forewarned her that white people "smelled funny." Meanwhile, Roberta's mother expresses her disapproval of black people by "[looking] down at [Twy...

To what extent does Franz Kafka's life experience influence the novel "The Metamorphosis." Provide in-depth detail.

Franz Kafka’s life experiences had a direct influence on his novella The Metamorphosis. The hypochondriac author tells a story of a man/creature in decline, a fate that Kafka experienced himself, albeit less fantastically. As a Jewish man living in Austria, Kafka experienced the rejection and isolation that anti-semitism brought on his community. In the story, Gregor experiences a similar sense of loneliness after his transformation into a giant insect. The harsh treatment that others inflict upon him are indicative of Kafka’s experiences, as those outside of his religious and ethnic community would behave in a manner sometimes similar to those who come in contact with Gregor. Kafka’s experiences with his own family seem to have a strong influence on the story as well. His overbearing father caused Kafka to develop a sense of anxious isolation, as Gregor likewise experiences in the story. Another similarity is the fact the Kafka lived with his parents after graduating from college. Thi...

Calculus of a Single Variable, Chapter 6, 6.2, Section 6.2, Problem 50

Formula for compounding n times per year: A=P(1+r/n)^(nt) Formula for compounding continuously: A=Pe^(rt) A=Final Amount P=Initial Amount r=rate of investment expressed as a percent n=number of compoundings per year t=time in years a) r=5% n=1 (annually) A=P(1+r/n)^(nt) 2000=1000(1+.05/1)^(1*t) 2=1.05^t ln(2)=tln(1.05) ln(2)/ln(1.05)=t 14.21=t Final Answer: 14.21 years b) r=5% n=12 (monthly) A=P(1+r/n)^(nt) 2000=1000(1+.05/12)^(12*t) 2=(1.00416)^(12t) ln(2)=12tln(1.00416) ln(2)/[12ln(1.00416)]=t 13.89=t Final Answer: 13.89 years c) r=5% n=365 (daily) A=P(1+r/n)^(nt) 2000=1000(1+.05/365)^(365*t) 2=(1.000136)^(365t) ln(2)=365tln(1.00136) ln(2)/[365ln(1.00136)]=t 13.86=t Final Answer: 13.86 years d)A=Pe^(rt) 2000=1000e^(.05*t) 2=e^(.05t) ln(2)=.05tlne ln(2)/[.05lne]=t 13.86=t Final Answer: 13.86 years

What are the advantages and disadvantages of using Big Five Trait Taxonomy to assess personality in a specific population?

The Big Five personality traits (also called the five-factor model and the OCEAN model) refers to a taxonomy for personality traits. This taxonomy is based on the theory that uses common language descriptions to categorize individuals into five broad categories that describe psyche and personality. The five personality traits that comprise this taxonomy include: openness to experience, conscientiousness, extraversion, agreeableness, and neuroticism. This theory contends that family life and how an individual was raised in childhood will affect where one falls in this taxonomy. Openness to experience, conscientiousness, extraversion, and neuroticism are all associated with a stable life for an individual during childhood. An advantage of this taxonomy is using it to better understand others and oneself. Acknowledging the validity behind these traits and associated classification can help explain motivations and causes for specific decisions. With a better understanding of others as well...

How does the schoolmaster Kantorek refer to his former students in All Quiet on the Western Front? Why do Paul and Kropp scoff at the term Kantorek uses?

The schoolmaster Kantorek refers to his former students as "Iron Youth." Paul and Kropp scoff at the term Kantorek uses because it is incongruent with what the young soldiers have become. The word "iron" conjures up images of strength and durability, while the word "youth" conjures up images of innocence and life. Yet, Paul, Kropp, and the other soldiers are no longer the innocent, trusting youth they once were. Many of them have been physically and emotionally shattered by their war experience. The brutal violence of war has dulled their faith and enthusiasm for pretentious labels. Paul maintains that it was men of the older generation like Kantorek who taught him and his peers that "duty to one's country is the greatest thing." To Paul, the older generation were "very free with all these expressions" of duty and patriotism. However, they were never the ones who had to sacrifice  life and limb to fulfill the dictates of their philo...

Why do genetic mutations often impact more than one system in the body?

By genetic mutation I assume you mean a change in a gene that has been inherited from one's parents. Most often we are talking about genes that reside on DNA in the nucleus. It's important to remember that this DNA is the same in all cells of the body. Some genes are active in certain cells more than others or may be completely inactive in some, giving rise to differentiation—the wide variety of cells and tissues in the body. But many genes are active in all cells, or their mode of action may be important throughout the body. How do genes, normal or mutated, have their effect on an organism? Genes are sequences of DNA that contain instructions for making proteins. Proteins are long chains of a kind of molecule called an amino acid. The properties of the amino acids in the chain cause the proteins to fold into three-dimensional shapes. Proteins accomplish their roles in the organism mainly because of their shapes. A mutated gene produces an abnormal protein, which may do its job...

How can I compare the settings of "The Necklace" and "Everyday Use," giving two examples from each story?

The short story "The Necklace," by Guy De Maupassant, and the short story "Everyday Use," by Alice Walker, have many similarities. There are also many differences. In terms of the setting, both stories take place in modest dwellings, with characters who come from little money and little status in society. In "The Necklace," Mathilde Loisel is born into a modest family and marries a man with little means and status. She feels that she was wronged by being born so humbly. She is dissatisfied with her station in life, her dwelling, clothes, and husband. In the opening paragraph of the story, this dissatisfaction is described: "She was one of those pretty and charming girls born, as though fate had blundered over her, into a family of artisans. She had no marriage portion, no expectations, no means of getting known, understood, loved, and wedded by a man of wealth and distinction; and she let herself be married off to a little clerk in the Ministry of Edu...

In Outliers: The Story of Success by Malcolm Gladwell, what does "work hard enough and assert themselves and use their minds and imagination to shape the world of their desires" mean?

This quote comes at the end of Section I of the fifth chapter in Outliers, titled “The Three Lessons of Joe Flom.” The whole paragraph reads: The most important contribution of the miracle of the garment industry, though, was what happened to the children growing up in those homes where meaningful work was practiced. Imagine what it must have been like to watch the meteoric rise of Regina and Louis Borgenicht through the eyes of one of their offspring. They learned the same lesson that little Alex Williams would learn nearly a century later – a lesson crucial to those who wanted to tackle the upper reaches of a profession like law or medicine: if you work hard enough and assert yourself, and use your mind and imagination, you can shape the world to your desires. Gladwell’s topic in this chapter is the garment industry of New York City, and its close ties with the Jewish immigrants who ran it. He maintains that the reason why so many children of garment workers later became lawyers, was...

Explain the difference between stress theory and crisis theory as it pertains to first responders (firefighters, police, paramedics, etc.) after trauma.

Stress theory and crisis theory both relate to how first responders cope with the biological and psychological demands of their job responsibilities. Both theories help us understand how emergency workers and law enforcement respond to extreme stress in the line of duty. Both theories differ in terms of focus. While stress theory emphasizes how societal support systems and personal characteristics alleviate stress in first responders, crisis theory highlights the factors that induce stress reactions in those responders as well as the results of ineffective coping mechanisms.  Proponents of stress theory recognize the effects of ongoing stress on first responders. Current theories also recognize the differing male and female responses to this type of stress or allostatic load (the continued wear-and-tear on the biological and psychological resources of first responders). While men tend towards fight-or-flight responses to stress, women harness the power of community support systems to m...

Please explain the significance of the year 1491 had as it pertains to the history of the United States.

From the point of view of native or indigenous peoples in the United States, and for that matter, the western hemisphere, 1491 was the final year in which their cultures and civilizations were allowed to progress in an undisturbed way, free of widespread European contact, conquest and genocide. While there was undoubtedly some random contact with Europeans before that year, especially via Greenland, these contacts were insignificant in terms of cultural impact. In 1492, Columbus's arrival would disrupt and shatter native cultures, as historians such as Howard Zinn have documented. This process would continue for centuries.  In 1491, native cultures in the United States would have been unaware of Christianity, guns, smallpox, European concepts of private ownership of land and racial hierarchy, and unaware that a change was coming that would completely upend their cultures. While the West routinely celebrates the arrival of Columbus as opening the New World to the Europeans, native c...

Why do you think Melville chose the unnamed Wall Street lawyer as his narrator?

This answer is perfectly legitimate, but ignores the deeper significance of Bartleby’s “I prefer not to.”  Melville is trying to dramatize the difference between goal-driven action and personal choice.  While “existentialism” is not exactly the right word to describe this difference, Melville’s entire canon serves to show the consequences of choice—choosing to go after Moby Dick, or Bill Budd’s choosing to “bless Captain Vere” rather than cursing his fate, etc.  The unnamed lawyer in Bartleby the Scrivener has chosen to conform to the written and unwritten behavior of the business world, and as such represents all the nameless persons whose choice-making is driven not by personal conscience but by almost mindless conformity to the mundane.  Melville himself is a conscious “chooser” rather than a conforming author. The unnamed narrator is in many ways the opposite of Bartleby: an optimistic and stable man, the lawyer seems to be a completely devoted contributor to both society and the e...

What are 3 different ways Shylock demonstrates revenge?

Revenge is a powerful motivator, and in The Merchant of Venice, revenge is interpreted differently by Shylock and Antonio. For Shylock, his insistence on his "pound of flesh" is a display of justice (although ultimately not within the definition of the law) because revenge is the natural payback for the wrongs committed by the Christians, particularly Antonio. Shylock makes himself understood and his intentions known when he points out that he has learned from Antonio's attempts to destroy his credibility. Antonio "mocked . . . and thwarted" Shylock mercilessly. The villainy you teach me I will execute—and it shall go hard but I will better the instruction. Revenge is made sweet for Shylock in the simple act of Bassanio even asking him for a loan. This in itself—"Three thousand ducats . . . I think I may take his bond"—places Shylock in an unexpected position of power against the very person who, for Shylock, is characteristic of the worst of Christian...

How does Douglass portray the Fourth of July?

In his speech, "What to the Slave is the Fourth of July," Frederick Douglass portrays the day as unique in that it means different things to separate segments of American society. Depending on whether one is a free American or a slave, the Fourth of July can mean either pride in a national accomplishment (American independence from the English) or sorrow in a national travesty (the practice of slavery within American borders). Douglass says that, for white Americans, the day is one of "joyous enthusiasm," a day made possible only because men "preferred revolution to peaceful submission to bondage." For black Americans who are slaves, however, the Fourth of July is a day of "mere bombast, fraud, deception, impiety, and hypocrisy." Douglass argues that slaves cannot fully enter into the joy of the day because they haven't yet been released from the shackles that oppress them. He cites the example of the slave trade in the Southern states. There...

College Algebra, Chapter 8, 8.1, Section 8.1, Problem 52

a.) Determine the equations for the family of parabolas with vertex at the origin, focus on the positive $y$-axis, and with focal diameters $1, 2, 4$ and $8$. b.) Draw the graphs and state conclusions. a.) If the focus is on positive $y$-axis, then its focus is located at $F(0, p)$. The equation $x^2 = 4py$ is a parabola with vertex at origin and opens upward with focus at $F(0, p)$ where $4p$ is the length of the focal diameters. So, if the focal diameters are $1, 2, 4$ and $8$ then the equations of the parabola are $x^2 = y, x^2 = 2y, x^2 = 4y$ and $x^2 = 8y$ respectively. b.) It shows from the graph that as the focal diameters increases, the graph of the parabola expands horizontally.

Does location affect the likelihood of encountering different Pokemon?

Yes. There are certain Pokemon that are hypothesized to be location locked by continents. Tauros: North America Mr. Mime: Western Europe Kangaskhan: Australia / New Zealand Farfetch'd: Asia There are other Pokemon that will spawn more frequently in parks/certain areas. For example, in Seattle Scyther is found in the Arboretum, and Lickitungs can be found in Discovery Park. Try to search Facebook/Reddit for Pokemon Go groups in your city. You will probably be able to find some documentation of where Pokemon show up in parks and other public places. There is another hypothesis that more rare Pokemon will show up at higher density spots of cell reception, which is why you might hear a story about everyone on your college campus quad catching a Dragonite. Here is a great video showing people stampeding at night trying to catch a wild Vaporeon (Eevees may be common, but Vaporeons are very rare to find). The best advice I have is to check out national parks, monuments, and other popul...

What is Marxism and how is it currently influencing the economy?

In popular terminology, Marxism is a set of beliefs about the proper set up for a country’s economy.  Marxism is diametrically opposed to capitalism, arguing that capitalism is unjust because it exploits the workers.  Although this is somewhat controversial, we can at least argue that Marxism affects the American economy by inspiring government programs like welfare programs and Medicaid. Marxism is named for Karl Marx, who laid out the foundations of the philosophy in the mid-1800s.  He argued that capitalism inherently exploits the workers.  Marx argued that manufactured goods only had value because of the work that went into them.  Even so, the workers did not get most of the money from the sale of the products they made.  Instead, the capitalists who owned the factory got most of the money even though they did none of the work.  To Marx, this was very unjust.  He argued that the economy should be set up in such a way that the workers would own everything and there would be no capit...

How has the author described Jim Baker?

The author describes Jim Baker as a "middle-aged, simple-hearted miner" who once lived in the California woods. According to the author, Jim Baker can understand any remark made by an animal or human being. He is portrayed as a larger-than-life character, a satirized version of the rugged individualist who boasts skills beyond the ability of the average person. The character of Jim Baker can be found in Mark Twain's A Tramp Abroad. In the book, Baker is portrayed as an animal whisperer of sorts. According to Jim Baker, all animals can talk to each other. Some animals have only a limited vocabulary, while others boast more extensive skills. The latter has a "fine command of language and a ready and fluent delivery." Jim maintains that the bluejay is more articulate than any other animal. According to Jim, bluejays can put anything they feel into language. Bluejays are said to be extremely well-educated. Jim believes that these birds are never stumped for words. I...

In act 4, what do Ophelia's songs imply?

Ophelia's songs are first and foremost a way of illustrating the extent of her descent into madness—and not just because she is breaking into song at socially inappropriate moments. A well-bred noblewoman like Ophelia would never in her right mind discuss the topics that Ophelia sings about, particularly in the terms that she does: it was simply not acceptable for young, unmarried women to talk so openly and even graphically (e.g., "by cock") about sex (4.5.66). The content of Ophelia's songs is important in another respect too, though. Certain lines suggest a connection to her father Polonius's recent death; she says, for instance, that an unspecified "he" is "dead and gone" (4.5.34). On the other hand, the sexual references call to mind her relationship with Hamlet—particularly because they revolve around the betrayal of a woman by her lover. In the song, the man promises to marry his lover only to discard her once she has slept with him. Whi...

In Richard Connell’s short story “The Most Dangerous Game,” does Zaroff give a fair chance to his human opponents?

On his remote island off the coast of South America the sociopathic General Zaroff hunts men for sport. He has grown tired of hunting animals because he has grown too expert in his chosen passion so he hunts men who become stranded on the island, which has the nickname "Ship-Trap." After revealing his diabolical pastime to Rainsford during their dinner conversation, Zaroff notes that the men he hunts are treated quite well before they are released into the jungle: "I treat these visitors with every consideration. They get plenty of good food and exercise. They get into splendid physical condition." Along with this the general provides them with food, a good hunting knife, and gives them a three hours' head start before releasing them. Afterward he sets off after them with "a pistol of the smallest caliber and range." It could then be argued that Zaroff does indeed give them somewhat of a fair chance. Of course, a really fair chance would involve also g...

arctan(xy) = arcsin(x + y) , (0,0) Use implicit differentiation to find an equation of the tangent line at the given point

arctan(xy) =arcsin(x + y) First, take the derivative of both sides of the equation using implicit differentiation. d/(dx)[arctan(xy)] = d/dx[arcsin(x + y)] Take note that the derivative formula of arctangent is d/dx[arctan(u)]=1/(1+u^2)*(du)/dx And the derivative formula of arcsine is d/dx[arcsin(u)] = 1/sqrt(1-u^2)*(du)/dx Applying these two formulas, the equation becomes 1/(1+(xy)^2)*d/dx(xy) = 1/sqrt(1 - (x+y)^2)*d/dx(x+y) To take the derivative of xy, apply the product rule. d/dx (u * v) = u *(dv)/dx + v *(du)/dx Applying this formula, the equation becomes 1/(1+(xy)^2)*(x*d/dx (y) + y*d/dx(x))= 1/sqrt(1 - (x+y)^2)*(d/dx(x)+d/dx(y)) 1/(1+(xy)^2)*(x*(dy)/dx + y*1)= 1/sqrt(1 - (x+y)^2)*(1+(dy)/dx) Then, isolate (dy)/dx . x/(1+(xy)^2)*(dy)/dx +y/(1+(xy)^2)=1/sqrt(1 - (x+y)^2) +1/sqrt(1 - (x+y)^2)*(dy)/dx x/(1+(xy)^2) *(dy)/dx - 1/sqrt(1-(x+y)^2)*(dy)/dx = 1/sqrt(1-(x+y)^2) - y/(1+(xy)^2) (x/(x+(xy)^2)-1/sqrt(1-(x+y)^2))*(dy)/dx= 1/sqrt(1-(x+y)^2) - y/(1+(xy)^2) (dy)/dx =(1/sqrt(1-(x+y)...

http://www.americancriminallawreview.com/files/1814/0943/7881/Zelcer.pdf Please summarize the article "Battling Domestic Violence: Replacing Mandatory Arrest Laws with a Trifecta of Preferential Arrest, Officer Education, and Batterer Treatment Programs" from the link on top.

"Battling Domestic Violence: Replacing Mandatory Arrest Laws with a Trifecta of Preferential Arrest, Officer Education, and Batterer Treatment Programs" is an article by Amy M. Zelcer published in American Criminal Law Review (Vol. 51) in 2014. It takes as a starting point the June 27, 2005 United States Supreme Court decision in the case of Castle Rock v. Gonzales. The facts of the case are not disputed. The delays of the police in responding to the complaints of Jessica Gonzales about her estranged husband's abduction of their children were, at best, problematic and, at worst, a factor that enabled the husband to murder the children. Had the police responded more promptly and arrested the husband for violation of the restraining order, the children might not have died. The decision, however, affirmed that arrest of people who violate restraining orders is not mandatory within either Colorado or federal law, and thus the police and the town were not legally culpable. Zel...

Intermediate Algebra, Chapter 3, 3.3, Section 3.3, Problem 42

Determine an equation of the line that satisfies the condition "$x$-intercept $(-2,0)$; slope $-5$". (a) Write the equation in standard form. Use the Point Slope Form of the equation of a line with $(x_1,y_1) = (-2,0)$ and $m = -5$ $ \begin{equation} \begin{aligned} y - y_1 =& m (x - x_1) && \text{Point Slope Form} \\ \\ y - 0 =& -5 [x - (-2)] && \text{Substitute $x = -2, y = 0$ and } m = -5 \\ \\ y =& -5x - 10 && \text{Distributive Property} \\ \\ 5x + y =& -10 && \text{Standard Form} \end{aligned} \end{equation} $ (b) Write the equation in slope-intercept form. $ \begin{equation} \begin{aligned} 5x + y =& -10 && \text{Standard Form} \\ y =& -5x - 10 && \text{Slope Intercept Form} \end{aligned} \end{equation} $

Evaluate the pros and cons of IVF.

How do carnivorous plants adapt to their environment? Carnivorous plants are especially adapted to growing in bogs, marshes, and similar environments. The soils in such places is usually very low in the amount of minerals and other nutrients needed to produce healthy plants. Since the soil is poor, the carnivorous plants have evolved to be able to lure, capture, and digest insects to supply themselves with iron, proteins, and other nutrients, most notably, nitrogen and phosphorus. Over the course of evolution, the carnivorous plants have adapted to their environment by developing leaves that can also serve as traps that secrete enzymes or bacteria to help digest their prey. Substances in the plant that were originally protections against disease, evolved into enzymes such as chitinase, which disintegrates insect exoskeletons, and purple acid phosphatase, which allows the plant to extract phosphorus from insect bodies. The plants also give off a scent that insects find attractive, so t...

What does it mean that no one can ‘buy’ her beauty?

In Thomas Campion’s poem “There is a Garden in Her Face,” the woman he describes is so beautiful, he can only illustrate it using metaphors. Her skin in the color of a lily, her cheeks are “roses,” and her lips are cherries, which reveal her exquisite smile—teeth that are “pearls.” Each stanza of the poem ends in a refrain that says no one can kiss her until she says “Cherry ripe.” This phrase indicates that the lady will only give herself to the suitor who is worthy of her when she decides she is ready. It could also mean that she doesn’t accept romantic invitations, but waits until she finds her perfect match. Because she is a virtuous woman, she will not freely give her love to anyone who might desire it. When the speaker says no one can “buy” her, he means that no amount of coercion or flattery would cause her to give herself to someone if she was uninterested or not prepared to commit.

What message is Edwards conveying in the sermon?

The message from Edwards's "Sinners in the Hands of an Angry God" is that mankind is inherently sinful and it is only through God's grace that Man is able to avoid eternal damnation and torment. Edwards's goal was to encourage people to turn towards God and away from sin before it was too late. Edwards was a minister during the Great Awakening. This period is marked by emotional responses to religion, a contrast from the more rational approach of the Enlightenment. In trying to make people see the urgency in making a decision for God, Edwards focused on what would happen if people stayed away from God's mercies; they could expect to spend eternity in Hell. Edwards also pointed out the frailty of life and that the only way to assure oneself a place in Heaven was to accept salvation right away. Edwards's sermon was printed as well as given from the pulpit, thus giving him a larger audience. While Edwards's speaking style had a powerful effect on h...

Calculus: Early Transcendentals, Chapter 6, 6.3, Section 6.3, Problem 24

The shell has the radius x - (-1) , the cricumference is 2pi*(x+1) and the height is (2x)/(1+x^3) - x, hence, the volume can be evaluated, using the method of cylindrical shells, such that: V = 2pi*int_(x_1)^(x_2) (x+1)*((2x)/(1+x^3) - x) dx You need to find the endpoints, using the equation (2x)/(1+x^3) - x = 0 => 2x - x - x^4 = 0 => 3x - x^4 = 0 => x(3 - x^3) = 0 => x = 0 and x = root(3) 3 V = 2pi*int_0^(root(3) 3) (x+1)*((3x - x^4)/(1+x^3)) dx V = 2pi*int_0^(root(3) 3) (x+1)*(3x - x^4)/((x+1)(x^2-x+1)) dx Reducing the like terms yields: V = 2pi*int_0^(root(3) 3) (3x - x^4)/(x^2-x+1) dx V = 2pi*(int_0^(root(3) 3) (3x)/(x^2-x+1) -int_0^(root(3) 3) (x^4)/(x^2-x+1) dx V = 2pi*(int_0^(root(3) 3) (3x)/(x^2-x+1)dx - int_0^(root(3) 3) x^2 dx - int_0^(root(3) 3) x dx + int_0^(root(3) 3) (x)/(x^2-x+1)dx) V = 2pi*(int_0^(root(3) 3) (4x)/(x^2-x+1)dx - int_0^(root(3) 3) x^2 dx - int_0^(root(3) 3) x dx) V = 2pi*(2*int_0^(root(3) 3) (2x+1-1)/(x^2-x+1)dx - x^3/3|_0^(root(3) 3) - x^2/2|...

What specific choices does Mother Courage make, and how do they affect her children?

Mother Courage cares for her children, but at critical moments of the play, she makes decisions that undermine their safety. For example, even though she is adamant that her son Eilif not join army, she is distracted trying to make a sale and her son is taken away. Similarly, when her second son, Swiss Cheese, who has become a paymaster, is arrested by soldiers looking for his cash box, Mother Courage decides to ransom him using money the from the cash box. When she finds out that her son has thrown the cash box into the river, she tries to renegotiate the ransom, hoping for a lower price, but fails. Her son is executed. Mother Courage is not a bad character, but one trying to make her way in impossible circumstances. Her commitment to business, her willingness to sell to both sides, and her desperation to make enough to keep her family together all contribute to the eventual death of her children. The play is set in the early 1600s during the Thirty Years' War between the Protesta...

What is Kit's first impression of the Wood family and the Wood family's first impression of Kit in The Witch of Blackbird Pond?

Kit did not tell the Woods that she was coming to live with them, and she had never even met them before she showed up at their door. The Woods would naturally be surprised to see her. Also, Kit came from Barbados, a colony where she had a much different upbringing from the stuffy Puritanical ways of Wethersfield. The Woods are shocked from the very first time they see Kit in her fancy clothes, which stand out as a metaphor for how different she is from everyone else there. "You wore a dress like that to travel in?" In her eagerness to make a good impression Kit had selected this dress with care, but here in this plain room it seemed over elegant. The three other women were all wearing some nondescript sort of coarse gray stuff. (Ch. 3)  The Woods are shocked at Kit’s flashy dresses and the fact that she has never worked a day in her life. She reads plays instead of the Bible. She doesn’t understand their customs, and while she tries to respect them, she is also not afraid to...

Summarize the primal religions according to Huston Smith.

Primal religions are thought to predate most well-known historical religions, and some of those continue around the globe, in places like Africa, Southeast Asia, the Pacific Islands, and North and South America. In these religions, there is a blending of the experiences of life and the mythical world, and adherents typically reach far back into their ancestries to form common bonds with nature and time. Most people who practice these religions are not literate. Instead, they rely on the beauty of an oral tradition to convey truth. This tradition involves using rhythms, intonations, and pauses as need to convey meaning. Each member of the religion learns these stories, becoming a part of the tradition and a walking library of information. These religions also have a unique attachment to space and place. A place is concrete (one specific lake), but a space is abstract (one cubic foot of space is the same anywhere). Adherents to primal religions consider their surroundings with great sign...