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Showing posts from October, 2013

If the main character in a story struggles against the cold Arctic weather, is the conflict internal or external?

In a sense, this is a false dichotomy with respect to Jack London's story "To Build a Fire." While an external conflict is a struggle against something outside oneself and an internal conflict is a struggle against one's own emotions, desires, beliefs, or habits, often the two work together.  In the case of "To Build a Fire," in one sense, the narrator is engaged in an extended struggle for survival against the Arctic cold. This would be an external conflict. On the other hand, the narrative focuses to a great degree on how the cold saps the man's willpower and thus that much of his struggle is an internal one to summon up the reserves of will and character necessary for survival and how he ultimately fails. Many of these sorts of survival stories set in the wilderness emphasize how a harsh external environment leads to people developing–or failing to develop–inner strength. 

Intermediate Algebra, Chapter 1, 1.1, Section 1.1, Problem 22

List the numbers in the following set that are elements of each set. $\displaystyle \left \{ -8, - \sqrt{5}, -0.6, 0, \frac{3}{4}, \sqrt{3}, \pi, 5, \frac{13}{2}, 17, \frac{40}{2} \right \}$ a.) Natural Numbers Based from the given set, the natural numbers are $5,17$ and $\displaystyle \frac{40}{2}$ or $20$. b.) Whole Numbers Based from the given set, the whole numbers are $0,5,17$ and $\displaystyle \frac{40}{2}$ or $20$. c.) Integers Based from the given set, the integers are $-8,0,5,17$ and $\displaystyle \frac{40}{2}$ or $20$. d.) Rational Numbers Based from the given set, the rational numbers are $\displaystyle -8,-0.6, \frac{3}{4},5, \frac{13}{2},17$ and $\displaystyle \frac{40}{2}$. e.) Irrational Numbers Based from the given set, the irrational numbers are $- \sqrt{5}, \sqrt{3}$ and $\pi$. f.) Real Numbers Based from the given set, all are real numbers.

How do we expect Red Chief to react to the kidnapping? How does it affect the reader?

Johnny is totally happy with being kidnapped. He is having lots of fun. In fact, when the kidnappers ask him whether he would like to go home, he says “Aw, what for? I don’t have any fun at home. I hate to go to school. I like to camp out. You won’t take me home again, will you?” Though initially, he had put up a big fight while Bill and Sam carried him away from his home, later on, he likes the idea of living in a cave with the freedom to do whatever he wants. He plays make-believe cowboy and indian games and calls himself Red Chief, “the terror of the plains.” He calls Bill "Old Hank," whom he intends to scalp at daybreak according to the game’s script. He calls Sam "Snake-eye," who is to be “broiled at the stake” at daybreak. He continuously bullies Bill, even wanting to really scalp him as per the game. He talks endlessly and is everywhere all at once. His pranks weary the two men so much so that they want him out of their hands as soon as possible. The reader e...

lim_(x->-oo) cschx Find the limit

Given, lim_(x->-oo) cschx = lim_(x->-oo) (2/(e^x -e^(-x))) as x -> to negative infinity e^x -> 0 and e^-x tends to negative infinity so, lim_(x->-oo) (2/(e^x -e^(-x))) = lim_(x->-oo) (2/(0 -(-oo))) = 0

In the book Outliers: The Story of Success, Gladwell says, "to say that garment work was meaningful is not to romanticize it." What does he mean by that?

The analysis of the Jewish garment industry in New York is the subject of Chapter Five, “The Three Lessons of Joe Flom.” Here Gladwell shows that the reason so many children of immigrant garment workers become lawyers and doctors is that they had the benefit of the Jewish experience; they were born in the early 1930s; and they saw their parents and grandparents reap the benefits of meaningful work. One of the main stories is about Louis and Regina Borgenicht: immigrants who created their own business making and selling aprons before the turn of the last century. They became successful, but only because they were diligent at sewing and marketing their pieces. They couldn’t just sit back and let anyone else do the work for them: or at least, not at first. Gladwell says that in order for people to feel as though their work is satisfying, it must have three qualities: “autonomy, complexity, and a connection between effort and reward.” The garment workers’ path was not an easy one, and not ...

Why do you think Crusoe was unhappy when he was a slave?

Slavery is a common theme in Robinson Crusoe. Crusoe himself becomes a slave owner, owning a sugar plantation in Brazil which relies on slave labor for its cultivation. Earlier in the story, Crusoe's ship is attacked by Moorish pirates. Crusoe is captured and made a slave by the pirate captain. He's not exactly thrilled at the prospect. After all, he must have some idea as to how degrading and miserable the life of a slave can be. But then Crusoe is treated quite well by his captors, performing mainly light duties aboard ship. He certainly isn't forced to experience the kind of back-breaking toil of a slave in a sugar plantation. Yet Crusoe still yearns to be free. As a white European, he probably feels that slavery is something that should only happen to the so-called lesser races. It's shameful and undignified for a member of a privileged race to be reduced to the status of a slave. In order to regain that privileged status, then, it's necessary for Crusoe to esca...

What factors led to US involvement in World War II?

When the war began, the United States had entered a period of isolationism. Americans viewed the conflict as Europe’s problem and wished to keep it that way. However, as the situation in Europe grew increasingly dire, the United States began to slowly edge toward war. The breaking point, of course, was the sudden attack by the Japanese at Pearl Harbor. However, in retrospect, the attack may not have been such a sudden and unforeseen event. Tensions between the United States and Japan had been consistently escalating for several years before the attack. Although the United States distrusted the USSR because of the recent communist takeover, the two nations maintained relatively sociable relations at the time. Irritated that the Japanese had moved into their backyard, the USSR began to strongly criticize the Japanese and began to posture militarily in the northern Manchuria region. Due to the United States' relatively amicable relations with both the USSR and China, it too began to p...

Calculus of a Single Variable, Chapter 8, 8.5, Section 8.5, Problem 17

int(x^2-1)/(x^3+x)dx (x^2-1)/(x^3+x)=(x^2-1)/(x(x^2+1)) Now let's create partial fraction template, (x^2-1)/(x(x^2+1))=A/x+(Bx+C)/(x^2+1) Multiply equation by the denominator, (x^2-1)=A(x^2+1)+(Bx+C)x (x^2-1)=Ax^2+A+Bx^2+Cx x^2-1=(A+B)x^2+Cx+A Comparing the coefficients of the like terms, A+B=1 ----------------(1) C=0 A=-1 Plug the value of A in equation 1, -1+B=1 B=2 Plug in the values of A,B and C in the partial fraction template, (x^2-1)/(x(x^2+1))=-1/x+(2x)/(x^2+1) int(x^2-1)/(x^3+x)dx=int(-1/x+(2x)/(x^2+1))dx Apply the sum rule, =int-1/xdx+int(2x)/(x^2+1)dx Take the constant out, =-1int1/xdx+2intx/(x^2+1)dx Now evaluate both the integrals separately, int1/xdx=ln|x| Now let's evaluate second integral, intx/(x^2+1)dx Apply integral substitution: u=x^2+1 du=2xdx =int1/u(du)/2 =1/2int1/udu =1/2ln|u| Substitute back u=x^2+1 =1/2ln|x^2+1| int(x^2-1)/(x^3+x)dx=-ln|x|+2(1/2ln|x^2+1|) Simplify and add a constant C to the solution, =-ln|x|+ln|x^2+1|+C

Why do the other children bully Margot in "All Summer in a Day"?

Ray Bradbury's short story "All Summer in a Day" is set on the planet Venus, where it rains constantly and the sun only comes out for a few hours once every seven years. The characters are a class of nine-year-old children, most of whom had been on Venus all their lives, and they had been only two years old when last the sun came out and had long since forgotten the color and heat of it and the way it really was. Margot is one of the children in this class, but she is different from the others, an outsider to her peer group. She's a shy girl, "very frail," like "an old photograph . . . whitened away." She is also so quiet that "if she spoke at all her voice would be a ghost." When the class bully, William, shoves her and shouts at her, she stands there passively, neither resisting nor answering him. She "[plays] no games" with the other children; even if they try to include her, "she [stands] blinking after them and [does] ...

How do you think weak and sickly Lady Madeline escapes from the copper and stone tomb in "The Fall of the House of Usher"?

I will give you two theories on this.  One is that the whole thing is in the narrator’s head and the comments about how she seemed to be alive made him imagine her coming out of the tomb.   The other option is that she was just so angry about how she was buried alive that she mustered up the strength to push her way out.  After all, the lid was not tight because they are the ones who screwed in the lid. To say that Roderick is not in his right mind is an understatement.  The narrator really does not seem to know what he walked into when he went to that house.  He hasn’t seen Roderick for ages.  They were childhood friends.  He came because Roderick asked him to, and he found himself stepping into a nightmare. The doctor did not know what either Roderick or Madeline were suffering from; according to the narrator he “wore a mingled expression of low cunning and perplexity.”  When Madeline died, Roderick’s reaction was odd to say the least.  He wanted his sister entombed beneath the house...

In Sophocles's view, what role do the gods play in man's destiny? I am also supposed to reference the chorus and their view on the order of the universe.

Most would argue that Sophocles views the gods as in complete control of a man’s destiny. The prophecy from the gods drives the entire play. While characters spend their lives trying to defy it or prove it wrong, every one of their actions actually perpetuates the prophecy; it is impossible to escape. Even so, Oedipus believes he can escape it and take matters into his own hands. When he first learns the curse on Thebes is related to Laius’s murder, he takes it upon himself to solve Thebes's problems rather than seek the help of the gods. Later, when he starts to learn more information about his past, his pride swells and he refuses to accept that he might be headed for demise. He says “I am the child of luck; I cannot be dishonored. . . How could I not be glad to know by birth?” Though Jocasta warns him to stop searching for information, his desire to know his past blinds him. Still, this knowledge does not change the fate that the gods have in store for him. Whether he knows his ...

College Algebra, Chapter 1, 1.6, Section 1.6, Problem 62

Solve the nonlinear inequality $\displaystyle \frac{3+x}{3-x} \geq 1 $. Express the solution using interval notation and graph the solution set. $ \begin{equation} \begin{aligned} \frac{3+x}{3-x} & \geq 1\\ \\ \frac{3+x}{3-x} - 1 & \geq 0 && \text{Subtract } 1\\ \\ \frac{3+x}{3-x} - \left( \frac{3-x}{3-x} \right) & \geq 0 && \text{Common Denominator}\\ \\ \frac{3+x-3+x}{3-x} & \geq 0 && \text{Simplify}\\ \\ \frac{2x}{3-x} & \geq 0 \end{aligned} \end{equation} $ The factors on the left hand side are $2x$ and $3-x$. These factors are zero when $x$ is 0 and 3 respectively. These numbers divide the real line into intervals $(-\infty, 0),(0,3),(3,\infty)$ From the diagram, the solution of the inequality $\displaystyle \frac{2x}{3-x} \geq 0$ are $[0,3)$

How does The Prince symbolize the humanist revival of Greek and Roman texts and promote secular models?

Machiavelli was a true child of the Renaissance. He was a thoroughgoing humanist who looked fondly to antiquity for models of learning, wisdom and statesmanship. The Prince stands as a monument to the rediscovery of ancient Greek and Roman texts. Yet Machiavelli was also a humanist in the broader sense in that he set forth a vision of political philosophy uninfluenced by prevailing standards of Christian morality. Indeed, it was this feature of his magnum opus that made Machiavelli's name notorious for centuries. Both senses of the word humanism coalesce in how Machiavelli understands human nature. Prior to Machiavelli, political philosophers, in keeping with their religious convictions, tended to deal with people as they ought to be, judging political actors by high moral standards inherited from the Christian tradition. Machiavelli's whole approach to the matter is completely different. He takes people as he finds them, as they actually are. If you want to give sound politica...

Is CH_4 + 2O_2 = CO_2 + 2H_2O a balanced equation? It seems to have too many oxygen atoms on the right of the equation to me.

This equation seems completely balanced to me. Let's figure out if this is true. For an equation to be a balanced one, the quantity of atoms of each type must be the same on the left side and on the right side. Do not forget that an index n under atom in a formula means that this molecule has n atoms of that type. There are three types of atoms in our reaction: C, H, and O. Let's start from O. There are 0 oxygen atoms in CH_4, 2*2 oxygen atoms in two molecules of O_2, 2 in CO_2 and 2 in two molecules of H_2O. So, we have 0 + 2*2 = 4 oxygen molecules at the left side and 2 + 2 = 4 at the right one. Balanced. For C, we have 1 + 0 = 1 + 0, also true. For H, 4 + 0 = 0 + 2*2, true. As a whole, the equation is balanced.

College Algebra, Chapter 4, 4.3, Section 4.3, Problem 56

If $P(x) = x^4 + 3x^3 - 16x^2 - 27x + 63$. Use the factor theorem to show that $x - c$ is a factor of $P(x)$ for $c = 3$ and $c = -3$. If $P(3) = 0$, then $x - 3 = 0$, so $x - 3$ is a factor and if $P(-3) = 0$, then $x + 3 = 0$, so $x + 3$ is a factor. So using synthetic division twice We see that $ \begin{equation} \begin{aligned} P(x) =& x^4 + 3x^3 - 16x^2 - 27x + 63 \\ \\ P(x) =& (x - 3)(x + 3)(x^2 + 3x - 7) \\ \\ \text{ or } & \\ \\ P(x) =& (x -3)(x + 3) \left( x - \frac{3 + \sqrt{37}}{2} \right) \left( x - \frac{3 - \sqrt{37}}{2} \right) \end{aligned} \end{equation} $

College Algebra, Chapter 7, 7.3, Section 7.3, Problem 8

Determine the inverse of the matrix and verify that $B^{-1} B = BB^{-1} = I_3$ where $\displaystyle B = \left[ \begin{array}{ccc} 1 & 3 & 2 \\ 0 & 2 & 2 \\ -2 & -1 & 0 \end{array} \right]$ We first add the identity matrix to the right of our matrix $\displaystyle \left[ \begin{array}{ccc|ccc} 1 & 3 & 2 & 1 & 0 & 0 \\ 0 & 2 & 2 & 0 & 1 & 0 \\ -2 & -1 & 0 & 0 & 0 & 1 \end{array} \right]$ Using Gauss-Jordan Elimination $\displaystyle R_3 + 2R_1 \to R_3$ $\left[ \begin{array}{ccc|ccc} 1 & 3 & 2 & 1 & 0 & 0 \\ 0 & 2 & 2 & 0 & 1 & 0 \\ 0 & 5 & 4 & 2 & 0 & 1 \end{array} \right]$ $\displaystyle \frac{1}{2} R_2$ $\left[ \begin{array}{ccc|ccc} 1 & 3 & 2 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & \displaystyle \frac{1}{2} & 0 \\ 0 & 5 & 4 & 2 & 0 & 1 \end{array} \right]$ $\displaystyle R_3 - 5 R_2 \to R_...

What is the official language of Oceania?

Newspeak is the official language of Oceania in George Orwell's 1984. Information about Newspeak can be found in the appendix of the text, in the section titled "The Principles of Newspeak". Newspeak "was the official language of Oceania and had been devised to meet the ideological needs of Ingsoc, or English Socialism" (Orwell, 309) and its official purpose was not only to provide a medium of expression for the world-view and mental habits proper to the devotees of Ingsoc, but to make all other modes of thought impossible. It was intended that when Newspeak had been adopted once and for all and Oldspeak forgotten, a heretical thought - that is, a thought diverging from the principles of Ingsoc - should be literally unthinkable, at least so far as thought is dependent on words. Its vocabulary was so constructed as to give exact and very subtle expression to every meaning that a Party member could proper...

How does the narrative point of view affect the presentation of events in this story?

Since the story is narrated from the perspective of a young boy, readers are able to better identify with his decisions and level of understanding. The decisions the narrator makes wouldn't be sympathetic from an adult perspective, but they are more understandable as the reader hears them from the perspective of a ten-year-old boy. Readers can see how he struggles to take care of his mother and the pride he takes in everything he does right. However, he's not an adult. When he goes to pick up medicine for her, he makes himself sick drinking it. That night, the roles are set right when his mother forgives him and tucks him back into bed. The narrative point-of-view also helps readers grasp the level of understanding that the narrator has. He doesn't fully comprehend everything that's happening around him, because he has the limited experience of a child. He's not sure why the little girl influences him to drink the medicine. He's not sure how to take care of his ...

How did the election of 1800 fray the relationships and friendships of major political figures of the era? Think of Adams/Jefferson and Hamilton/Burr.

John Adams and Thomas Jefferson forged a strong friendship and alliance in the heady days before and during the Revolutionary war. They were united by a common cause—freedom from Great Britain and the foundation of a new and better nation built on republicanism (meaning no monarchy) and democracy. They were united too by the stresses of war and by fear of sharing the same fate should the Americans lose the war: execution as traitors. But while both were united behind the same general political ideals, the devil is in the details, and by the election of 1800, the paths of these two men had already sharply diverged. They clashed primarily over the power of the central government: Jefferson feared a strong federal government and favored state's rights, while Adams was adamantly in favor of a strong federal system. Their relationship had begun deteriorating in the 1790s, largely over Jefferson's support of the French Revolution and Adam's growing distaste for what he considered...

In Edward Bloor's book Tangerine, why do Paul's parents ignore Erik's cruelty?

The Fishers ignore Erik’s cruelty because Erik is a master manipulator who is easily able to mask his true self when his parents are around him. He quickly morphs into a sweet, innocent boy when the Fishers are around, but he cruelly turns on Paul as soon as they leave the room. It helps that Erik often has lackeys, like Arthur Bauer, do his dirty work, so most of his cruelty cannot be traced directly back to him. The Fishers also ignore Erik’s cruelty because they are willfully blind. Edward Bloor stresses that the Fishers, particularly Mr. Fisher, are captured by a strange phenomenon, the “Erik Fisher Football Dream.” Mr. Fisher wants Erik to play Division I football and lay the groundwork for a career in the NFL. Mrs. Fisher seems less enthusiastic about this prospect, but willfully supports her husband’s mania. Consequently, anything that might tarnish Erik’s reputation is pushed into the background. Anything that contradicts the Erik Fisher Dream simply does not exist. Through thi...

Explain as thoroughly as you can how the slave trade affected African society.

In my view, the best source to consult on this is C.L.R. James's The Black Jacobins. Please pay particular attention to the first chapter, "The Property." James uses the lectures of the late anthropologist and African scholar Emil Torday to assess the violence wrought on African societies by the Atlantic slave trade. He posits that, according to Torday, "in the sixteenth century, Central Africa was a territory of peace and happy civilisation [sic]" (James 7). Other historical sources, including John Hope Franklin's From Slavery to Freedom, place the beginning of the slave trade in the early fifteenth century. However, demand for slaves was not as high at this time due to the plentiful cheap labor offered by British indentured servants at this time. James discredits historical revisionists who claim to have rescued Africans from tribal warfare by bringing them to the New World. He also counters those who cite systems of slavery which existed in West and Centr...

Explain the key Aspects of Qualitative vs. Quantitative Study Explain the difference between Survey type interview vs. Qualitative research interview. Identify things you would look for in a Qualitative vs. quantitative studies that make it sound.

Qualitative studies, as their name suggests, focus on the "quality" of research. They are used to provide beginning insights and ideas about a problem and to gain a better and deeper understanding of the subject. Qualitative research is exploratory in nature. It uses opinions and reasoning rather than only statistical facts. In a qualitative study, methods for collecting data may include group discussions on a topic, personal interviews, and observations of a particular setting. The sample size tends to be smaller than that of a quantitative study, and participants may determine in large part how the study moves along, as it is less strictly structured than other types of study. Quantitative studies, on the other hand, use a more sizeable sample population and attempt to determine the "quantity" or scope of a problem. They use more statistics, data, and numbers rather than words. Often, different types of surveys are utilized to gain sample data from a large sample ...

Compare and contrast mitosis and meiosis.

Both of these are methods of reproduction in living things. Mitosis creates diploid cells, which are, under ideal situations, clones of one another. By doubling the DNA and splitting it when the cell fissures, the cell produces a duplicate of itself. This is the method that somatic (body) cells are produced.  Skin, organ, and bone cells are created in this fashion. These cells also have internal mechanisms which tell them to stop reproducing. When a cell has a mutation which allows it to reproduce excessively or when it produces mutated cells, this leads to problems such as cancer. Meiosis, on the other hand, allows for the production of gametes, which are haploid cells. These haploid cells only have half the DNA and they need to find another haploid cell in order to create a functional organism. Gametes are sex cells, which means they are referred to as sperm and eggs. When they combine, they form a zygote. This zygote undergoes mitosis in order to grow from one cell into many.

What do the dogs refer to as Animalism?

In Orwell's book, the dogs and pigs form an exclusive group after Snowball's ouster. The new pig leader, Napoleon, is never seen without his army of nine ferocious dogs. We must remember that Animalism originally consisted of seven rules. Here they are: Whatever goes upon two legs is an enemy. Whatever goes upon four legs, or has wings, is a friend. No animal shall wear clothes. No animal shall sleep in a bed. No animal shall drink alcohol. No animal shall kill any other animal. All animals are equal. Basically, Animalism demands that animals distinguish themselves from humans. It also demands that animals refuse to accept the supremacy of humans. Indeed, the central tenet of Animalism rests on the right of all animals to be free from enslavement (to humans). However, the rules of Animalism soon change after Snowball's ouster from the farm. The pigs and dogs slowly take on the habits of their previous human masters. They sleep on beds, drink alcohol, and wear human clothing...

What discoveries led scientists to conclude that atoms were made up of smaller particles?

The ancient Greeks hypothesized that all physical structures were made up of smaller particles too small to detect with the human eye. In the early 19th century, scientist John Dalton refined the Greek model and defined atoms as the fundamental building blocks of nature. Nearly a century later, J.J. Thomson discovered that atoms contained electrons. He theorized that negatively charged electrons and other positively charged particles floated around inside an atom’s hard shell, like raisins in “plum pudding.” In 1911, Ernest Rutherford argued that an atom’s positive charge must be a result of an atomic nucleus and that electrons orbit the nucleus like planets around the sun. Just a few years later, Niels Bohr expanded Rutherford’s model introduced the idea that electrons orbit the atomic nucleus at varying energy levels. Bohr’s ideas inform the work of today’s scientists as they study the mysteries of quantum mechanics and how to harness nuclear energy. https://www.absorblearning.com/ch...

What is the style of "The Tell-Tale Heart"?

Poe wants us to get inside the tortured mind of a murderer, the better to understand him. The style in which he writes "The Tell-Tale Heart" constantly pushes us to an emotional response in the hope that we will feel greater empathy. This illustrates how Poe tries to make us complicit in the foul deed that has been committed. The style of "The Tell-Tale Heart" accurately matches up with the protagonist's character. The protagonist is not simply the story's narrator; he is an unreliable narrator. Further, he is an emotionally unstable narrator. The use of this literary device heightens tension and makes us more engaged with the story as we try to get the bottom of what's really going on. As the narrator is chronically unreliable, we have no alternative but to keep our wits about us as we attempt to get at the truth. Although the narrator constantly tries to assure us that he is perfectly sane, Poe's stylistic approach to the story suggests otherwise. ...

What is the role of state constitutions in state governments?

The role of state constitutions is to develop the plan of government a state will have. Some of the ideas a state constitution will explain include what the role of legislative branch will be, how many houses will comprise the legislative branch, how long an elected term of office lasts, and if term limits exist. The constitution will also explain the structure and the role of the executive branch. Some state constitutions, such as Wisconsin’s constitution, give the governor broad veto powers by allowing the governor to cross out letters, words, numbers, or specific lines in a proposed budget. Other state constitutions more strictly limit what the governor can do. The role of the judicial branch is also explained and identified in the state constitution. It will say what cases a state court can hear and establish the process for bringing a case into the court system. The state constitution determines the structure of state government and what it may and may not do. It should be noted t...

Did Vincent van Gogh achieve critical fame during his lifetime?

Van Gogh's work was treated largely with indifference during his lifetime. Famously, he only sold one painting. And it was only in the years following his death that he, along with other post-impressionists, started to achieve popular and critical acclaim. With the passage of time, Van Gogh's paintings have become part of the mainstream. Yet it is important to remember how completely radical his work and that of other post-impressionists seemed at the time. The artists of this school were concerned to do away with a naturalistic approach to painting, instead turning their attention to symbolism and structure. They also believed that color was independent of form; this allowed them to explore color in greater depth now that it could be studied in its own right, separate from formal constraints. Van Gogh epitomizes this new and radical approach in his own work, particularly in his deep explorations of the color yellow as seen in his paintings of sunflowers and wheat fields. To ma...

int_1^2 x^4lnx dx Use integration tables to evaluate the definite integral.

To evaluate the integral problem: int_1^2 x^4ln(x) dx , we follow the formula from basic integration table. For the integrals with logarithm, the problem resembles the formula: int x^n ln(x) dx = x^((n+1)) ( ln(x)/(n+1)- 1/(n+1)^2), n!= -1 . By comparison of x^n with x^4 ,  we let n=4 which satisfy that condition n!=-1 to be able to use the aforementioned integral formula.  Then the integral problem is evaluated as: int_1^2 x^4ln(x) dx= [x^((4+1)) ( ln(x)/(4+1)- 1/(4+1)^2)]|_1^2 = [x^(5) ( ln(x)/5- 1/5^2)]|_1^2 = [x^(5) ( ln(x)/5- 1/25)]|_1^2 = [(x^(5) ln(x))/5- x^5/25]|_1^2 Apply definite integral formula: F(x)|_a^b = F(b) - F(a) . [(x^(5) ln(x))/5- x^5/25]|_1^2=[(2^(5) ln(2))/5- 2^5/25]-[(1^(5) ln(1))/5- 1^5/25] =[(32 ln(2))/5- 32/25]-[(1ln(1))/5- 1/25] =(32 ln(2))/5- 32/25 -(1ln(1))/5+ 1/25 = (32 ln(2))/5 -0/5+ (1-32)/25   =( 32ln(2))/5 -31/25 or 3.196 (approximated value).

To what extent are trading blocs an effective and realistic response to globalization?

Trading blocs respond to certain specific problems raised by globalization. The first problem they address is that globalization does not necessarily involve free markets or balanced trade. A global trade organization such as the WTO has limited ability to solve such problems, and its sheer size can limit its ability to achieve consensus. Trade blocs such as NAFTA can create limited trade agreements that facilitate limited trade in goods and services without requiring global agreement. They can also address the global imbalance of small, poor countries having less leverage in creating trade agreements than large, rich countries. For example, the EU can negotiate from a position of power as a large market in the way that Portugal or Estonia alone could not. A trade bloc can also create strategic alliances among countries with common diplomatic or military aims. For example, several countries are nervous about the increasing power and militarism of China, especially with respect to contr...

In Jeremy Lin’s "Model Minority Problem" the author outlines a multidimensional problem of cultural representation in the media. Traditionally the term ideal or model minority is associated with Asian-Americans. Explain what is meant by this designation. How is this label both a positive and negative experience?

The term "model minority" refers to a minority population that is seemingly characterized by positive traits rather than negative ones. In layman's terms, you might hear someone call a model minority group something like, "the good ones," or say that they're "not like those other groups." In the United States, this is particularly true of Asian populations, and especially East Asians (Chinese, Japanese, Koreans, etc.). Asian-Americans are often stereotyped as being high-achieving, hard-working, sometimes hyper-intelligent, quiet and uncomplaining, and usually good in a very narrow range of fields including math and certain musical instruments. On the one hand, this means that Asian-Americans don't have to deal with some of the very negative steretoypes that other populations, such as African-Americans, do. For example, Asian-American men don't tend to be seen as threatening the way that African-American men do, which means that they are mor...

What was the Emergency Quota Act?

After World War I ended, there was a growing concern in the United States regarding the increased number of immigrants coming to the country, especially immigrants from countries in southern and eastern Europe. These immigrants had different customs, cultures, and languages than the immigrants who had come in the first wave of immigration from countries in northern and western Europe. Some people felt these newer immigrants wouldn't fully assimilate into American society. Some of these newer immigrants were anarchists, which further frightened many Americans. With the arrival of communism in the Soviet Union near the end of World War I, there were also fears that some of these immigrants might try to spread communism to the United States. In response to these fears, the Emergency Quota Act was passed in 1921. This law limited immigration to the United States, especially immigration from countries in southern and eastern Europe. This law would allow three percent of the number of pe...

In the poem "The Unknown Citizen," what does the Bureau of Statistics say about the unknown citizen?

According to the Bureau of Statistics, the unknown citizen was a model worker who served the greater community well. He was a good worker who never got fired, and he "satisfied his employers" immensely as an employee. According to the Bureau, the unknown citizen was socially popular, fully insured, and resistant to extreme or unpopular convictions. By all indications, the unknown citizen adhered to socially-accepted views about popular life and culture. He was said to have bought a paper everyday while he lived and to have reacted to advertisements predictably. The unknown citizen was also regarded by the Bureau as the stereotypical model citizen who never veered from the truths his government expected him to adhere to: "That he held the proper opinions for the time of year;/ When there was peace, he was for peace: when there was war, he went." Last, but not least, the unknown citizen was said to have had five children, the "right number for a parent of his gen...

In what ways can Thomas Gray's poems be considered Romantic in tone?

Nominally, Thomas Gray is considered as a neo-Classical poet. Yet, there are elements in his work which are proto-Romantic, that point towards the radical departure of Wordsworth, Coleridge et al.  Gray's most famous work is "Elegy Written In A Country Churchyard." In this, there are certain tonal and stylistic traits that will come to be developed more fully by the Romantics. For instance, the elegy is in part a tribute to the ordinary, unlamented rural folk lying in their graves beneath the churchyard. This concern with the common folk prefigures the approach of Wordsworth and Coleridge in Lyrical Ballads, where they stated their avowed intent to use the ordinary language of everyday people to convey their radical poetic vision. In the "Elegy" Gray gestures towards a theme that the Romantics would consistently explore. The voice of Gray's "Elegy" is a lonely, isolated one. The farmers have wended their weary way home; the bell of the church tower...

sum_(n=0)^oo (-1)^n*e^(-n^2) Determine whether the series converges absolutely or conditionally, or diverges.

To apply Root test on a series sum a_n, we determine the limit as: lim_(n-gtoo) root(n)(|a_n|)= L or                          lim_(n-gtoo) |a_n|^(1/n)= L Then, we follow the conditions: a) Llt1 then the series is absolutely convergent. b) Lgt1 then the series is divergent. c)  L=1 or does not exist  then the test is inconclusive. The series may be divergent, conditionally convergent, or absolutely convergent. In order to apply Root Test in determining the convergence or divergence of the series =sum_(n0)^oo (-1)^n*e^(-n^2) , we let: a_n=(-1)^n*e^(-n^2) We set-up the limit as:  lim_(n-gtoo) |(-1)^n*e^(-n^2)|^(1/n) =lim_(n-gtoo) |(-1)^n|^(1/n)*|e^(-n^2)|^(1/n)                                           =lim_(n-gtoo) 1 *(e^(-n^2))^(1/n)                                           =lim_(n-gtoo) (e^(-n^2))^(1/n) Apply the Law of Exponents:  (x^n)^m= x^(n*m) and x^(-n)= 1/x^n . lim_(n-gtoo) (e^(-n^2))^(1/n) =lim_(n-gtoo)e^(-n^2*1/n)                               =lim_(n-gtoo)e^(-n^2/n)         ...

Single Variable Calculus, Chapter 3, 3.8, Section 3.8, Problem 34

At what rate was this species brain growing when the average length was 18cm? Given: $ \begin{array}{c} B & = & 0.007 W^\frac{2}{3}\\ W & = & 0.12 L^{2.53} \end{array} $ where $ \begin{array}{c} B & = & \text{brain weight in grams}\\ W & = & \text{body weight in grams}\\ L & = & \text{body length in cm} \end{array} $ Required: $\displaystyle \frac{dB}{dt}$, when $L = 18$cm Getting the equation of brain weigh in terms of its body lengthwe get $\displaystyle B = 0.007 \left[ 0.12 L^{2.53}\right]^{\frac{2}{3}} \qquad \Longleftarrow \text{ Equation 1}$ Getting the derivative with respect to time $ \begin{equation} \begin{aligned} \frac{dB}{dt} &= \frac{2}{3} (0.007) \left[ 0.12 L^{2.53}\right]^{\frac{-1}{3}} \left( (0.12) (2.53) L^{(2.53-1)} \right) \left(\frac{dL}{dt}\right)\\ \\ \frac{dB}{dt} &= 0.0028724 \left( \frac{dL}{dt} \right) \qquad \Lo...

College Algebra, Chapter 5, 5.5, Section 5.5, Problem 12

In 1950, the population California was 10,586,223 and in 1980, the population is 23,668,562. Assuming that the population of California grows exponentially. a.) Determine a function that will model the populations t years after 1950. b.) Identify the needed time for the population to double. c.) By using the function from part(a), predict the population of Florida in the year 2006. a.) Recall the formula for growth rate $n(t) = no e^{rt}$ where $n(t)$ = population at time $t$ $n_0$ = initial size of the population $r$ = relative rate of growth $t$ = time If we let the population in 1950 be the initial population. And in 1980, ($t = 30$ years from 1950) the population is 23668562. So.. $ \begin{equation} \begin{aligned} 23,668,562 =& 10, 586,223 e^{r(30)} && \text{Divide both sides by } 10,586, 223 \\ \\ 2.2358 =& e^{30 r} && \text{Take $\ln$ of each side} \\ \\ \ln (2.2358) =& 30r && \text{Recall that } \ln e =1 \\ \\ r =& \frac{\ln (2.2358)}{30...

1968 has been called the most turbulent year of the 1960s. Describe what happened that year and why it was so turbulent. Include at least three events, policies, and laws that shaped that year and the government's views toward the various groups involved in bringing about the social change.

So many major events occurred in 1968 that it's difficult to single out the most important ones. The Tet Offensive in the Vietnam War occurred at the beginning of 1968. Though tactically a victory for the United States, it did nothing to advance the overall war effort of defeating the Vietcong and their North Vietnamese allies. The American public instead was reinforced in its growing belief that the war was going nowhere. In the months following this, even conservative people in the United States increasingly questioned the wisdom of "fighting Communism" in a small country halfway around the globe. This was one of the factors that eventually led to the election of Richard Nixon, who claimed he had a plan to end the war. Lyndon Johnson's announcement that he would not seek reelection was not exactly a surprise, given his escalation of the war and the opposition it had caused. In Johnson's absence the Democratic candidates ranged from the left-wing Eugene McCarthy,...

How can a global project be more complex than a project performed within just one country? How might these elements affect the successful outcome of the global project?

A global project by definition is a project that is implemented in multiple countries. The project could be piloted in one country and replicated anywhere else. For example a global technology project in the US that is introducing businesses to the use of technology for transmitting market related results can face numerous challenges in other countries. These challenges could include collecting and accessing the results in a timely manner, time differences, policy limitations that could require adequate time for approval of results, and difference in labor skill set. To address these issues and make the project successful globally, the project designers would need to understand all the laws in all the different countries pertaining to technology; identify and partner with the key players in the different countries; establish the right parameters for implementing the project which would be the minimum requirements to succeed; have a flexible strategic plan that is reviewed frequently to...

In "Rikki-Tikki-Tavi," Rikki Tikki destroys Nag and Nagaina's eggs, even though he was appalled that Nag ate one of Darzee's fledglings. Are Rikki-tikki's actions justified or is he being a hypocrite?

The answer to this really depends on your own personal opinion. You can argue Rikki Tikki is hypocritical in the story "Rikki-Tikki-Tavi," but you can also argue he only attacks the snakes and their eggs in self-defense. It is certainly possible to say Rikki Tikki is hypocritical. He asks Nag why Nag thinks he should be allowed to eat Darzee’s baby. This implies it is bad to kill the children of other animals. He then goes and kills Nag and Nagaina’s babies that are soon to hatch from their eggs, which for the animals is the moral equivalent of Nag killing Darzee’s baby. It is also hypocritical—or at least silly—to be angry at a snake for eating a baby bird since cobras are carnivores and will eat some living creature no matter what. It is silly to be mad at Nag for doing what his instinct calls him to do. On the other hand, we can say Rikki Tikki is not being hypocritical. He does not destroy Nag’s children without provocation the way Nag eats Darzee’s child. When Nag first ...

College Algebra, Chapter 2, 2.1, Section 2.1, Problem 52

Plot the points $A(-2,1)$ and $B(12,-1)$ on a coordinate plane. Which (if either) of the points $C(5,-7)$ and $D(6,7)$ lies on the perpendicular bisector of the segment $AB$? First we must get the slope of the segment $AB$ by using two point form $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1-1}{12-(-2)} = \frac{-2}{14} = \frac{-1}{7}$ Thus, the slope of the perpendicular bisector is equal to the negative reciprocal of the slope of segment $AB$. So, $\displaystyle m_P = \frac{-1}{\frac{-1}{7}} = 7$ Then, since the segment is bisected, we must get the midpoint $AB$ $ \begin{equation} \begin{aligned} x &= \frac{-2+12}{2} = 5\\ \\ y &= \frac{1+(-1)}{2} = 0 \end{aligned} \end{equation} $ Thus, the midpoint of the segment $AB$ is $(5,0)$ Therefore, the equation of the perpendicular line can be obtained by using the point slope form $y = mx +b$ $ \begin{equation} \begin{aligned} y &= m_P x + b\\ \\ y &= 7...

Intermediate Algebra, Chapter 5, 5.2, Section 5.2, Problem 36

Combine the like terms of the polynomial $3p^4 + 5p^4 - 2p^4$ According to the distributive property, for any numbers $a, b,$ and $c, a(b+c)=ab+ac$ and $(b+c)a=ba+ca$. Here, $p^4$ is a factor of both $3p^4$ and $5p^4$ $(3 + 5)p^4 - 2p^4$ Add 5 to 3 to get 8. $(8) p^4 - 2p^4$ Remove the parenthesis $8p^4 - 2p^4$ Again, according to the distributive property, for any numbers $a, b,$ and $c, a(b+c)=ab+ac$ and $(b+c)a=ba+ca$. Here, $p^4$ is a factor of both $8p^4$ and $-2p^4$ $(8 - 2)p^4$ To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value. In this example, subtract the absolute values of $8$ and $-2$ and give the result the same sign as the integer with the greater absolute value. $(6) p^4$ Remove the parentheses. Thus, the answer is $6p^4$

What was Carrie's power?

Carrie has the power of what is called telekinesis. In simple terms, this is the ability to move objects by the power of thought. Carrie demonstrates this power at several points in the book. Marbles start dancing around; a hairbrush rises into the air; Carrie's mother is pinned to the door by flying knives; all Carrie has to do is concentrate her mind and energy on an object and scary things start to happen. Telekinesis is an expression of Carrie's emotional life. The more emotional she gets, the more angry and upset, the stronger her powers become. And at the fateful high school prom, the full range of her telekinetic powers are displayed in frightening detail. Carrie also has the power of telepathy, the ability to read people's minds. This is an important element in the original story, though not so much in any of the various film adaptations. At the prom, Carrie gets inside the mind of her date, Tommy Ross, who feels her talking to him. Carrie also intimidates her enemi...

Summarize Carl Jung's theory of "consciousness." Please use at least 3 references. Also, please discuss the positive applications of the theory, and discuss the components of this theory that might make this theory challenging to apply. Discuss two ways in which this theory can be applied in a counseling setting. Include a description of how this theory can embrace multiculturalism and support culturally competent counseling practice.

Jung proposed that underlying one's individual or personal consciousness is what is called the collective unconscious, populated by archetypes and instincts that people share in common. Archetypes include the shadow, which is the animal side of the self and represents the creative and destructive forces of the self. These archetypes come from "archaic remnants"—not from the individual's own mind. These remnants arise from evolution and the memories of our ancestors. For example, people's innate fear of snakes arises from the experience of their ancestors. Archetypes are similar across cultures, as they come from people's common experiences in the ancient past. As people develop, they form their own persona. One of the applications of Jungian theory is the Meyers-Briggs Type Inventory (MBTI; see the link on Human Metrics below), which uses Jungian types, including introverts and extroverts, to understand one's personality style at work, in relationships, an...

Describe the characters' dominant traits.

Geek Love by Katherine Dunn revolves around the Binewski family, the owners and performers in a traveling circus, or "freak" show. Below are the main characters of this family, and a bit about their core characteristics. Al Binewski. The patriarch of the family is initially portrayed as masterful. He effectively manages and grows the family circus. He is also vivacious, brimming with eccentric speeches, stories, and habits, always displaying a robust energy. However, as power changes hands in the book, he becomes more subdued, frustrated, and concerned with petty matters beneath his once vibrant character. Lillian Binewski. The mother of the family comes across as elegant and refined, by virtue of her aristocratic Boston upbringing. Yet she too possesses a strong streak of eccentricity, having met her husband Al by performing as a geek, or a person who bites off chicken heads for entertainment. As the book unfolds, she too wanes as her husband does. She lives in denial over t...

College Algebra, Chapter 4, 4.6, Section 4.6, Problem 54

Find the intercepts and asymptotes of the rational function $\displaystyle r(x) = \frac{2x (x + 2)}{(x - 1)(x - 4)}$ and then sketch its graph. The $x$-intercepts are the zeros of the numerator $x = 0$ and $x = -2$. To find the $y$-intercept, we set $x = 0$ then $\displaystyle r(0) = \frac{2(0) (0 + 2)}{(0 - 1)(0 - 4)} = \frac{0}{4} = 0$ the $y$-intercept is . The vertical asymptotes occur where the denominator is , that is, where the function is undefined. Hence the lines $x = 1$ and $x = 4$ are the vertical asymptotes. We need to know whether $y \to \infty$ or $y \to - \infty$ on each side of each vertical asymptote. We use test values to determine the sign of $y$ for $x$- values near the vertical asymptotes. For instance, as $x \to 1^+$, we use a test value close to and to the right of $1$ (say $x = 1.1$) to check whether $y$ is positive or negative to the right of $x = 1$. $\displaystyle y = \frac{2(1. 1) [(1.1) + 2]}{[(1.1) - 1] [(1.1) - 4]}$ whose sign is $\displaystyle \frac{(+)...