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Showing posts from January, 2013

Discussion: TDAU Thinkorswim Stock Selections Use the link to address the following in your initial post: Identify which companies you invested in on the TDAU Thinkorswim platform. Explain why you selected those companies. Address whether you feel your portfolio is diversified. Explain your assessment.

It looks like you have to put together a small portfolio of diversified stocks. That's a fun assignment! First, my advice is based on what I've taught using the Stock Market Game and the Gen I-Revolution online finance games. It looks like the game portal your teacher is using is similar. I typically recommend diversifying with a combination of mutual funds, fixed-income securities like United States Treasury Bills, mid-cap stocks, and large-cap stocks. Non-cyclical stocks are also a good bet. These are basically stocks that aren't overly affected by market fluctuations. They do well whether the economy is buoyant or tanking (within limits). Examples of non-cyclical stocks are food and utilities stocks from companies like General Mills, Proctor and Gamble, Coca Cola, and Duke Energy. Take a look at top performing utilities stocks here. Compare the list to the top electric utilities stocks of 2016. Whatever you decide to invest in, remember to check the latest news and updat...

What were the political characteristics of the Renaissance period?

     The Renaissance is associated with expansive cultural production and advances in the arts and sciences, however, the political economy that allowed the arts and sciences to flourish was rather regressive from today’s point of view. Here are some characteristics of the political system: Nation states did not exist. Instead, the Holy Roman Empire covered a vast territory across Europe (from Italy to Northern Germany) The Holy Roman Empire was headed by the Emperor, who was selected by the Pope The territory of the Holy Roman Empire was subdivided into smaller territories, cities, and towns that were ruled by monarchs and princes Absolutism was the form of government (e.g., Louis XIV of France). Absolutism is a form of government in which one ruler enjoys absolute power over his subjects (people). Cities and towns enjoyed a relatively high degree of freedom and autonomy. Cities and towns were lively centers of trade, wealth, the arts and sciences. Wealth was an important indicator of...

How would you characterize the personality of the narrator, based on the General Prologue? Use evidence from the text to support your response.

The narrator in The Canterbury Tales is the lens through which we see every other character, and consequently he is at pains in the General Prologue to portray himself as a truthful person whose descriptions can be relied upon. Accordingly, he states, "whoso shal telle a tale after a man / He moot reherce as ny as evere he can / Everich a word" (whoever tells a story that repeats another person's tale, he must repeat every word as exactly as he can). Part of the reasoning behind the narrator's making this point, however, goes beyond a simple wish to be considered truthful and reliable: the narrator is also keen that any "vilynye," or vulgarity, in the stories he tells be ascribed to his devotion to truth rather than his personality. (See ll. 725-745). Far from being a vulgar person, indeed, the narrator tells us that he is a pious man who respects piety in others. However, one cannot help but infer from the satirical tone of the prologue that, in fact, the n...

In "A Noiseless Patient Spider" by Walt Whitman, do you think that the narrator is envious or jealous of the spider? Why?

It does seem, perhaps, that the speaker of Walt Whitman's poem "A Noiseless Patient Spider" is somewhat envious of how the spider is able to "tirelessly" and constantly launch filaments that are able to catch onto something. The controlling metaphor of Walt Whitman's poem is that of the soul being likened to the spider as it is "seeking the spheres to connect them." Much like the spider, the soul casts filament after filament in an effort to find meaning and a sense of the divine. But, the patient spider seems more successful in its venture of launching "filament, filament, filament." Certainly, the soul's task is more difficult and more complicated. The soul is Ceaselessly musing, venturing, throwing, seeking the spheres to connect them,Till the bridge you will need be form'd, till the ductile anchor hold,... In Whitman's poem, much like the spider, man also finds his realm beginning within himself. But, unlike the spider, wh...

Who wrote the Emancipation Proclamation?

President Abraham Lincoln drafted the Emancipation Proclamation in July 1862. The Proclamation, which did not become law until January 1, 1863, freed all the slaves in the Confederate states. It did not, however, free the slaves living in slave states that had not left the Union, though that freedom would be granted in 1865. In July 1862, Lincoln showed his entire Cabinet the Proclamation he had written and said he was convinced he must free the slaves. Some of his Cabinet members urged caution. Secretary of State William Seward advised Lincoln to be careful about the timing of the Proclamation, so that it would come from a position of strength, not weakness. He believed that Lincoln should unveil it only after a major Union military victory, so that it wouldn't look like a desperate attempt to win the war.

Describe the differences between a Federalist and an Anti-Federalist.

The modern USA has a federal, or central, government; but after the ratification of the Constitution in 1788, there were many who were opposed to placing too much power in the hands of a central government, preferring to keep power with the states. This was because they felt that many of the issues with the United Kingdom lay with the fact that the government had too much power. The terms 'anti-federalism' and 'federalism' need not refer exclusively to the United States, as they can be applied in any nation that has county or regional governments as well as a national governmental body, but for the purposes of this question, I will assume you are referring to the Federalists and Anti-Federalists in the US following the American Revolution.  The Federalists, who wanted a strong and unified national government in order to go about repairing the nation after the damage that had been wrought there by war, were led at their peak by Alexander Hamilton. These people tended to ...

In "A Sound of Thunder," why was the walkway so important to the success of the safari and the future of the world?

In "A Sound of Thunder," the walkway is crucial to the success of the safari and the world because it ensures that nothing in the past is altered. This is important because any change made in the past, no matter how small or big, has consequences for the future. The importance of the walkway is demonstrated through its description. It hovers six inches above the ground, for example, and does not touch even a blade of grass in the past. The Safari Guide, Mr. Travis, gives clear directions that nobody must ever stray from the walkway: Don’t go off it. I repeat. Don’t go off. For any reason! When faced with the dinosaur, however, Eckels has a moment of panic and strays from the walkway. It is only at the end of the story that he realizes that he has stepped on a butterfly, an action which has forever altered the course of time.

Did most workers in the 1880's in American cities live outside of city limits?

Most workers in the 1880s did not live outside city limits.  This was because of the lack of good transportation for workers which would have allowed them to live outside the cities in which they worked. In the 1800s, it was not easy to travel long distances to work.  There were streetcars and trolleys, but those forms of mass transit did not generally reach very far and were not widespread.  The average worker needed to live close enough to his or her place of work to be able to walk to and from work every day.  Because they needed to commute by foot, they had to live relatively close to their jobs.  This meant that they could not generally live outside city limits. Because of a lack of good transportation options, most workers in the 1880s still lived inside city limits. http://www.digitalhistory.uh.edu/era.cfm?eraid=9

Calculus of a Single Variable, Chapter 9, 9.8, Section 9.8, Problem 9

sum_(n=0)^oo x^(2n)/((2n)!) To find the radius of convergence of a series sum a_n , apply the Ratio Test. L = lim_(n->oo) |a_(n+1)/a_n| L=lim_(n->oo) | (x^(2(n+1))/((2(n+1))!))/((x^(2n))/((2n)!))| L=lim_(n->oo) | x^(2(n+1))/((2(n+1))!) * ((2n)!)/x^(2n)| L= lim_(n->oo)| x^(2n+2)/((2n+2)!) * ((2n)!)/x^(2n)| L= lim_(n->oo)| x^(2n+2)/((2n+2)*(2n+1)*(2n)!) * ((2n)!)/x^(2n)| L=lim_(n->oo) |x^2/((2n+2)(2n+1))| L=|x^2| lim_(n->oo)|1/((2n+2)(2n+1))| L=|x^2| * 0 L =0 Take note that in Ratio Test, the series converges when L Since the value of L is zero, which is less than 1, then the series converges for all values of x. Therefore, the radius of convergence of the given series is R =oo .

Compare and contrast the tone and style of both Hemingway's "A Clean Well-Lighted Place" and Kincaid's "Girl."

While the two writers couldn't be more different in terms of background and perspective, there are some interesting stylistic commonalities between Hemingway's "A Clean Well-Lighted Place" and Kincaid's "Girl". Both stories have a terse, staccato tone that is matter-of-fact yet also attentive to detail, bringing things to life. Hemingway's "A Clean Well-Lighted Place" takes place in a café in France and is a beautiful slice of life, exploring loneliness and the existential. The title refers to the importance of having a "place" where one belongs. It's written in simple, unadorned language, yet conveys deep meaning. Similarly, Kincaid's "Girl" also uses simple language in a short story told as a "to-do list" in one complete, lengthy paragraph. Through the list, Kincaid conveys layers of meaning, offering a host of practicalities about how to get on in the world as a poor, young black woman in the America...

Single Variable Calculus, Chapter 5, 5.1, Section 5.1, Problem 4

Estimate the area under the graph of $f(x) = \sqrt{x}$ from $x = 0$ to $x = 4$ using four approximating rectangles at following sample points. Sketch the graph and the rectangles. Also, state that if your estimate is an underestimate or overestimate. The width of the rectangle is.. $\displaystyle \Delta x = \frac{4 - 0}{4} = 1$ a.) Right endpoints $R_4$ $ \begin{equation} \begin{aligned} R_4 =& \sum \limits_{i = 1}^4 f(xi) \Delta x \\ \\ R_4 =& 1 [f(1) + f(2) + f(3) + f(4)] \\ \\ R_4 =& 1 [\sqrt{1} + \sqrt{2} + \sqrt{3} + \sqrt{4}] \\ \\ R_4 =& 6.1463 \end{aligned} \end{equation} $ By using a sample point at right endpoints in an increasing function, we can say that this is an overestimate. b.) Left endpoints $L_4$ $ \begin{equation} \begin{aligned} L_4 =& \sum \limits_{i = 1}^4 f(xi) \Delta x \\ \\ L_4 =& 1 [f(0) + f(1) + f(2) + f(3) ] \\ \\ L_4 =& [\sqrt{0} + \sqrt{1} + \sqrt{2} + \sqrt{3}] \\ \\ L_4 =& 4.1463 \end{aligned} \end{equation} $ This time, ...

Prove that 2 + sec(x) cosec(x) = (sin x + cos x)^2 / (sin x cos x).

2+secxcscx=(sinx+cosx)^2/(sinxcosx) To prove, consider the left side of the equation. 2+secxcscx Express the secant and cosecant in terms of cosine and sine, respectively. =2+1/cosx*1/sinx =2+1/(sinxcosx) To add, express them as two fractions with same denominators. =2*(sinxcosx)/(sinxcosx)+1/(sinxcosx) =(2sinxcosx)/(sinxcosx) + 1/(sinxcosx) =(2sinxcosx + 1)/(sinxcosx) Apply the Pythagorean identity sin^2x+cos^2x=1 . =(2sinxcosx+sin^2+cos^2x)/(sinxcosx) =(sin^2x+2sinxcosx+cos^2x)/(sinxcosx) And, factor the numerator. = ((sinx +cosx)(sinx+cosx))/(sinxcosx) =(sinx+cosx)^2/(sinxcosx) Notice that this is the same expression that the right side of the equation have. Thus, this proves that the  2+secxcscx=(sinx+cosx)^2/(sinxcosx)  is an identity.

In The Ramayana, who are the two key players in the battle?

The two key players in the battle that defines The Ramayana are Lord Rama and the demon-king Ravana of Lanka. The conflict between Lord Rama and Ravana is one of dharma versus adharma.  "Dharma" means living a life in accordance to the principles of duty, while "adharma" is a life that lacks such structure. The order of Lord Rama's dharma is positioned against Ravana's belief that he and his wishes are the only guiding principles that matter. This battle defines the epic.  Its resolution provides the lasting lessons to The Ramayana. Lord Rama embodies the principles of living with the honor that comes from duty.  He willingly accepts his exile, no matter how unjust it is. He lives as an ascetic with Devi Sita and Lakshmana.  Whenever there is a threat of injustice, he does not shy away from challenging it because he sees this as his duty as a warrior.  When Ravana abducts Sita, he feels compelled to rescue her because he loves her.  However, he is also motiv...

Single Variable Calculus, Chapter 3, 3.6, Section 3.6, Problem 9

Determine $\displaystyle \frac{dy}{dx}$ of $x^4(x+y) = y^2(3x-y)$ by Implicit Differentiation. $\displaystyle \frac{d}{dx} \left[x^4 (x+y) \right] = \frac{d}{dx} \left[y^2 (3x-y) \right]$ $ \begin{equation} \begin{aligned} (x^4) \frac{d}{dx} (x + y) + (x+y) \frac{d}{dx} (x^4) & = (y^2) \frac{d}{dx} (3x-y) + (3x-y) \frac{d}{dx} (y^2)\\ \\ (x^4) \left[ \frac{d}{dx} (x) + \frac{d}{dx} (y) \right] + (x+y) \frac{d}{dx} (x^4) &= (y^2) \left[ 3 \frac{d}{dx} (x) - \frac{d}{dx} (y) \right] + (3x-y) \frac{d}{dx} (y^2)\\ \\ (x^4)\left( 1 + \frac{dy}{dx} \right) + (x+y)(4x^3) &= (y^2) \left[ (3)(1) - \frac{dy}{dx} \right] + (3x-y)(2y) \frac{dy}{dx}\\ \\ x^4 + x^4 \frac{dy}{dx} + 4x^4 + 4x^3y &= 3y^2 - y^2 \frac{dy}{dx} + 6xy \frac{dy}{dx} - 2y^2 \frac{dy}{dx}\\ \\ 5x^4 + 4x^3y + x^4 \frac{dy}{dx} &= 3y^2 - 3y^2 \frac{dy}{dx} + 6xy \frac{dy}{dx}\\ \\ x^4 \frac{dy}{dx} + 3y^2 \fr...

Describe how a major refurbishment of publicly funded hospital facilities might affect the public sector borrowing requirement.

The question asks how a major refurbishment of publicly funded hospital facilities might affect the public sector borrowing requirement. The assumption here is that the term “major” indicates that the project is too large to fund out of excess hospital operating revenues; i.e. it must be financed somehow. Given that this is a refurbishment (i.e. replacement of depreciated assets), the project may have been anticipated and so funded through a sinking fund. This would be the case if the hospital management had set up such a facility in the past and had funded it consistent with the actual physical depreciation of the assets in question (presumably non-structural fixtures, equipment, etc.). Conversely, the government may be in a position to fund the refurbishment out of its general, budgeted tax revenues.  Assuming neither of these options are available, we are left with the choice of debt versus equity financing. Equity financing would depend on the specific corporate structure of the ow...

A proton is trapped in an infinite square well of width 15.0 nm. The "walls" of the well are at x = 0 and x = 15.0 nm. Assuming that the system is in the n = 2 state, calculate the probability of finding the proton at x = 12.0 ± 0.2 nm. Possibly integral from 11.8 to 12.2 = .027?

Hello! Yes, this probability is an integral from 12 - 0.2 = 11.8 nm to 12 + 0.2 = 12.2 nm. There are two problems: what is the function to integrate and what is the value of the integral. It is known that the function to integrate is the probability density, and it is the square of the wave function. Also it is known that the wave function for a particle in an infinite one-dimensional well with the walls x=0 and x=L is Psi(x) = sqrt(2/L) sin((n pi x)/L), where n is the state. So we need to integrate p_d(x) = 2/Lsin^2((n pi x)/L) = 1/L (1-cos((2n pi x)/L)). It is simple, and the probability is int_(11.8)^(12.2) 1/L (1-cos((2n pi x)/L)) dx = (x/L - 1/(2n pi) sin((2n pi x)/L))|_(x=11.8)^(12.2) Recall that n=2 and L=15nm and obtain p = 0.4/15-1/(4pi)(sin(4pi*12.2/15)-sin(4pi*11.8/15)) approx 0.048. (that said, your 0.027 is the first term, 0.4/15)    

y=ln(sinx) , [pi/4 , (3pi)/4] Find the arc length of the graph of the function over the indicated interval.

The arc length of a function of x, f(x), over an interval is determined by the formula below: L=int_a^bsqrt(1+((dy)/(dx))^2)dx So using the function given, let us first find (dy)/(dx): d/(dx)(ln(sin(x)))=(1/(sin(x)))*(cos(x))=(cos(x))/(sin(x))=cot(x) We can now substitute this into our formula above: L=int_a^bsqrt(1+((dy)/(dx))^2)dx=int_(pi/4)^((3pi)/4)sqrt(1+(cot(x))^2)dx Which can then be simplified to: L=int_(pi/4)^((3pi)/4)sqrt(1+cot^2(x))dx=int_(pi/4)^((3pi)/4)sqrt(csc^2(x))dx=int_(pi/4)^((3pi)/4)csc(x)dx Then you find the definite integral as you normally would.  (Using the method shown on the link below, you can find the integral of csc(x).) L=int_(pi/4)^((3pi)/4)csc(x)dx=-ln|csc(x)+cot(x)|_(pi/4)^((3pi)/4) L=-ln|csc((3pi)/4)+cot((3pi)/4)|-(-ln|csc(pi/4)+cot(pi/4)|) L=-ln|sqrt(2)+(-1)|-(-ln(sqrt(2)+1|)=-ln|sqrt(2)-1|+ln|sqrt(2)+1| Here, we will switch the two natural logarithm terms and use the quotient property to combine them into a single log: L=ln|sqrt(2)+1|-ln|sqrt(2)-1|=ln...

How did the “agent” jump easily from person to person?

Richard Preston's The Hot Zone is a vivid account of the study of viral hemorrhagic fevers. It begins with outbreaks of the Ebola and Marburg viruses in central Africa and then moves to controlled experiments at USAMRIID, the US Army Medical Research Institute of Infectious Diseases, where military scientists infect rhesus monkeys with these viruses to learn how the diseases progress and whether they can be stopped. The viruses cause severe vomiting and diarrhea. This is then followed by a weakening of blood vessels throughout the body, which leads to internal and external bleeding in the infected person, who dies of massive blood-loss. The viruses are referred to as "infectious agents" by the scientists in their experiments, and the experiments begin with the commonsense idea that transmission occurs through physical contact with bodily fluids—people or animals exposed to the blood, vomit, or feces of infected persons or animals have a very high risk of contracting the d...

What are some allusions in the novel Shoeless Joe?

W. P. Kinsella's 1982 novel Shoeless Joe contains many allusions to the work of J. D. Salinger. The most obvious is that Shoeless Joe's main character, Ray Kinsella, kidnaps Salinger, who acts as an intermediary between Kinsella and the deceased 1919 Chicago White Sox baseball team. Additionally, W. P. Kinsella explained that Ray Kinsella was not named for him but for characters in Salinger’s stories. Salinger twice used the name Kinsella in his work. Ray Kinsella appears in the short story "A Young Girl in 1941 with No Waist at All," and Richard Kinsella is Holden Caulfield's friend in Salinger's 1951 masterpiece The Catcher in the Rye, which W. P. Kinsella called "the quintessential book about growing up male in America." Thematically, Shoeless Joe also alludes to The Catcher in the Rye. Both are about efforts to return to a time of innocence. Ray Kinsella builds the baseball field as a tribute to the past and lost innocence. Holden Caulfield wants...

Calculus of a Single Variable, Chapter 3, 3.3, Section 3.3, Problem 14

You need to determine the intervals on which the function is increasing or decreasing, hence, you need to find out intervals on which the first derivative is positive or negative. You need to determine the first derivative, using the chain rule, such that: f'(x) = (cos(x/2))' => f'(x) = -(sin(x/2))*(x/2)' f'(x) = -(sin(x/2))/2 Now, you need to solve for x the equation f'(x) = 0: -(sin(x/2))/2 = 0 => (sin(x/2)) = 0 You need to remember that the sine function is equal to 0, in (0,2pi), at x/2 = pi. x = 2pi Hence, the derivative is negative for x/2 in (pi,2pi) and it is positive for x/2 in (0,pi). Hence, the function increases for x in (0,2pi) and it decreases for (2pi,4pi), but, since the behavior of the function is analyzed over (0,2pi), then the function increases over (0,2pi).

Which one of the following is an example of a balanced chemical reaction? A) HCl + KMnO_4 = Cl_2 + MnO_2 + H_2O + KCl B) HCl + KMnO_4 = Cl_2 + MnO_2 + 2H_2O + KCl C) 2HCl + 2KMnO_4 = Cl_2 + MnO_2 + 2H_2O + 2KCl D) 6HCl + 2KMnO_4 = 2Cl_2 + 2MnO_2 + 4H_2O + 2KCl E) 8HCl + 2KMnO_4 = 3Cl_2 + 2MnO_2 + 4H_2O + 2KCl

Hello! This is actually a math question. For a chemical equation to be balanced, there must be an equal quantity of atoms of each type on both sides of an equation. Let's start from the first type of atoms involved here, H (hydrogen). It appears only in H Cl at the left (one atom for each molecule) and in H_2O at the right (two atoms for each molecule). Check: A) 1*1 = 1*2 (false)B) 1*1 = 2*2 (false)C) 2*1 = 2*2 (false)D) 6*1 = 4*2 (false)E) 8*1 = 4*2 (true). So the only equation which might be balanced is E. Check the remaining types of atoms: Cl, K, Mn, O. Cl:  8*1 = 3*2 + 2*1 (true),K:    2*1 = 2*1 (true),Mn: 2*1 = 2*1 (true),O:     2*4 = 2*2 + 4*1 (true). Great, E is a balanced equation and the only such. The answer is E.

How does the structure and tone in "Theme for English B" connect to the theme of racism?

The structure and tone of "Theme for English B" helps to highlight the absurdity of racism and the interconnectedness of black and white life in America. There are six stanzas. The first stanza is one line, the tag to a quotation, "The instructor said. . . ." The second stanza contains the words of the professor, "Go home and write / a page tonight. / And let that page come out of you— / Then, it will be true." Then he makes a claim that the page, if it comes out of the speaker, will be true. It is interesting that the professor’s quote is a part of—and begins—the page. In the third stanza, the speaker tells us that he is black and from the South but is now going to a school up north, where he is the only black person in his class. He descends the hill from school into Harlem and goes to his room at the Y and writes. It is interesting that this stanza ends with a semicolon, almost as if up until now he was relating a story and the words that follow the col...

What characteristics does Walter Mitty wish he had in "The Secret Life of Walter Mitty"?

Walter Mitty would like to be assertive, commanding, courageous, brave, fearless, heroic, and unwavering. "The Secret Life of Walter Mitty" is a darkly humorous tale of a man who is defeated by authority and audacity, and emasculated by an insensitive wife. Apparently consigned to conducting his domineering wife to town and running silly errands for her, Walter drives along pretending that he is the courageous Commander of a Navy hydroplane until reality interrupts. Then, he is reduced to what has been called the "hen-pecked" husband as his wife scolds the meek Walter and reminds him to buy overshoes and wear his gloves. Shortly after dropping off his wife at the salon, Mitty drifts into another wishful daydream in which he is again a leader. This time he is a famous surgeon, who assertively fixes a faulty piston so that an operation can continue. In sharp contrast to this heroism and commanding persona, Mitty is reduced again by reality as a lowly parking-lot atten...

What do lines 5-6 of the "Morning Song" (by Sylvia Plath) mean by saying "your nakedness shadows our safety?"

Sylvia Plath's "Morning Song" portrays a scene of childbirth and offers the mother's perspective on her newborn child. The poem begins with the child's birth in the first two stanzas. Plath writes, Love set you going like a fat gold watch. The midwife slapped your footsoles, and your bald cry Took its place among the elements. Our voices echo, magnifying your arrival. New statue. In a drafty museum, your nakedness Shadows our safety. We stand round blankly as walls. (1-6) The baby enters the world, his/her time on earth beginning "like a fat gold watch." The baby is slapped into awareness by the midwife, and the baby's cry becomes part of the world his parents inhabit. The second stanza contains the lines you are to analyze. In this stanza, the parents' reaction to the child's birth is conveyed using imagery and word choice related to a museum. This museum is "drafty" and silent. In this space, the parents' "voices echo,...

Describe the role of meiosis in producing sex cells for sexual reproduction

I do wish that meiosis was named something different, because students seem to get it confused with mitosis. The two processes are related in some ways, but the end product of meiosis is very different from that of mitosis. Mitosis will produce cells that have the full, diploid chromosome count. Let's use a human cell for an example. Human cells contain 46 chromosomes. When a cell undergoes mitosis, each of the new daughter cells contains 46 chromosomes. Meiosis, on the other hand, won't produce cells with 46 chromosomes. Meiosis will produce cells that contain exactly half the diploid chromosome count. In the case of humans, meiosis produces four cells that each have 23 chromosomes. This is why meiosis is sometimes referred to as "reduction division." The reduced chromosome count is critical for sexual reproduction, because sexual reproduction requires genetic information to come from two sources. Again, I'll use humans as an example. The resulting cell from meio...

Calculus and Its Applications, Chapter 1, 1.3, Section 1.3, Problem 8

For the function $\displaystyle f(x) = \frac{9}{x}$ (a) Determine the simplified form of the difference quotient (b) Complete the table. a.) For $\displaystyle f(x) = \frac{9}{x}$ $\displaystyle f(x + h) = \frac{9}{x + h}$ Then, $ \begin{equation} \begin{aligned} f(x + h) - f(x) &= \frac{9}{x + h} - \frac{9}{x}\\ \\ &= \frac{9x - 9 (x + h)}{x(x +h)}\\ \\ &= \frac{9x - 9x - 9h}{x^2 + xh}\\ \\ &= \frac{-9h}{x^2 + xh} \end{aligned} \end{equation} $ Thus, $\displaystyle \frac{f(x + h) - f(x)}{h} = \frac{\frac{-9h}{x^2 + xh}}{h} = \frac{-9h}{h(x^2 + xh)} = \frac{-9}{x^2 + xh}$ b.) $ \begin{array}{|c|c|c|} \hline x & h & \displaystyle \frac{f(x+h)-f(x)}{h} \\ \hline 5 & 2 & -0.2571 \\ \hline 5 & 1 & -0.30 \\ \hline 5 & 0.1 & -0.3529 \\ \hline 5 & 0.01 & -0.3593 \\ \hline \end{array} $

Who is Irving's target audience in "Rip Van Winkle"?

In "Rip Van Winkle," Irving is making a case for the new energy and engagement that the American Revolution and the birth of the United States caused to arise in people. Happy-go-lucky Rip, who likes to hang out at the inn under the portrait of George III, falls asleep while New York is a colony under British rule, subject to laws over which the colonists have no say. When Rip wakes up twenty years later, the United States is its own country and is filled with a new, vibrant energy. Rip represents the old, lackadaisical, "sleeping" colonials who accepted King George's rule and lived passively. These are Irving's targets. He much prefers the active, voting, bustling citizens of the new republic, who are energized to vote and be true participants in their own governance.  As the story's narrator puts it, describing the village after Rip's long sleep: The very character of the people seemed changed. There was a busy, bustling tone about it, instead of t...

How does the narrator in Sredni Vashtar encourage the reader to empathize with the protagonist?

There are several traits that Conradin himself possesses which are cause for the reader's sympathy. There are also other characteristics of the cousin/guardian which provide a reason for the reader to feel empathy or, at least, sad concern for Conradin in his misfortune. To Conradin, his guardian named Mrs. De Ropp,  represented those three-fifths of the world that are necessary and disagreeable and real; thwarting him "for his good" was a duty which she did not find particularly irksome.  Mrs. De Ropp seems determined to prevent Conradin's happiness as she "thwarts him for his good." For instance, when the cousin notices that Conradin makes numerous trips to a forgotten old shed hidden by an overgrowth of shrubbery, she investigates by entering the shed where she discovers "a ragged-plumaged Houdan hen." At this point in the narrative, the reader's sympathies are aroused with the discovery that there is a distinctively pretty Houdan hen, ...

Why does the family decide to let Rikki-tikki stay in its home?

The narrator of the story is not explicit about the family's reasons for keeping Rikki-tikki-tavi in its home, but the family's tender treatment of him reflects a subtext of compassion and love for animals. First of all, the boy who finds Rikki-tikki-tavi wants to have a funeral for him, believing him to be dead and wishing to respect Rikki-tikki even in death. Then the mother wants to take the mongoose inside and dry him to give him a chance at life if such a chance exists. Lastly, the family wraps Rikki-tikki-tavi in cotton wool to warm him and place him next to the fire, hoping he will revive. All of these behaviors reflect the family's genuine interest in taking care of animals, especially animals like Rikki-tikki-tavi who are in need of help.

What does the line “and yet a maiden hath no tongue but thought” mean?

When Portia’s father died, he left a strange will. Like a princess in a fairy tale, his beautiful and wealthy daughter is to be given in marriage to any man who can successfully complete a set trial. Each suitor is confronted with three chests: one gold, one silver, and one lead. He is told that one of the three contains Portia’s picture; if he chooses that one, he wins her hand in marriage. If he chooses incorrectly, he must leave her forever.By the time Portia speaks the line that you’ve quoted — “And yet a maiden hath no tongue but thought” — we’ve seen two unsuccessful suitors come and go. Each time, Portia has carried out her part of the ritual just as her father’s will requires. In neither case did she show any hint of emotion: neither attraction nor dislike. Both times she showed herself meekly ready to marry any man who won her. This is correct maidenly behavior: modest obedience to her father, with no expression of her own feelings or wishes. But now Bassanio has come to under...

What is the epiglottis?

When an individual consumes food or beverages, they must pass into the esophagus from the throat, in order to enter the digestive system. However, the windpipe (trachea) is in the same area and if food should enter there, it could block the pathway of air to the lungs. The epiglottis is a cartilaginous flap of tissue that covers the larynx and prevents food from entering the windpipe when swallowing.  It is located behind the tongue and in front of the larynx. When swallowing, it covers the entrance to the larynx. When a person is breathing, it is upright so that air can easily pass into the respiratory system.  If the epiglottis becomes inflamed due to infection or injury, it can be very harmful to the individual. They may have difficulty with breathing or swallowing. This condition is known as epiglottitis. I have included a link showing a diagram of the location of the epiglottis.     

Single Variable Calculus, Chapter 4, 4.4, Section 4.4, Problem 44

Determine the horizontal asymptotes of the curve $\displaystyle y = \frac{1 + 2x^2}{1 + x^2}$ and use them together with concavity and intervals of increase and decrease, to sketch the curve. $\displaystyle y = \frac{1 + 2x^2}{1 + x^2}$ has a domain $(- \infty, \infty)$ So there are no vertical asymptote Solving for the horizontal asymptote $\displaystyle \lim_{x \to \pm \infty} \frac{1 + 2x^2}{1 + x^2} = \lim_{x \to \pm \infty} \frac{2\cancel{x^2}}{\cancel{x^2}} = \frac{2}{1} = 2 $ So the horizontal asymptote is $y = 2$ If we take the derivative of $f(x) = y$ $ \begin{equation} \begin{aligned} y' =& \frac{d}{dx} \left( \frac{1 + 2x^2}{1 + x^2} \right) \\ \\ y' =& \frac{\displaystyle (1 + x^2) \frac{d}{dx} (1 + 2x^2) - (1 + 2x^2) \frac{d}{dx} (1 + x^2) }{(1 + x^2)^2} \\ \\ y' =& \frac{(1 + x^2) (4x) - (1 + 2x^2)(2x) }{(1 + x^2)^2} \\ \\ y' =& \frac{4x + \cancel{4x^3} - 2x - \cancel{4x^3}}{(1 + x^2)^2} \\ \\ y' =& \frac{2x}{(1 + x^2)^2} \end{alig...

What songs correspond with five scenes from Romeo and Juliet?

William Shakespeare's romantic tragedy Romeo and Juliet has produced several modern productions. These productions have lovely soundtracks to accompany them, from which songs can be gleaned. Some of these songs from soundtracks as well as other popular songs are suggested here for five scenes: 1. "A Time for Us" sung by Andy Williams, from the soundtrack of the 1968 film version of Romeo and Juliet. (Act I, Scene 5) Pertinent to the first meeting in Act I, Scene 5, and the balcony scene of Act II, Scene 2 is this song, whose lyrics include the following verse: A time for us, someday there'll beWhen chains are torn by courage born of a love that's freeA time when dreams, so long deniedCan flourish as we unveil the love we now must hide.... 2. "Marry Me" sung by Train (Act II, Scene 2) This song can accompany the famous balcony scene in which Romeo swears his love to Juliet: My love will never endTill death do us partWhen I wake up everydayWith you lying i...

In The Iliad, what are four results of Achilles' pride?

While Achilles is busy sulking in his tent, his comrades are getting a good, hard thrashing on the field of battle. Without their finest warrior, the Achaeans are in big trouble against the Trojans. Achilles may be brave, but as far as he's concerned, he's bigger than the entire Achaean army. Without him, they're nothing. As he broods over what he perceives as unfair treatment by Agamemnon, Achilles gets angrier by the minute. He's like a ticking time bomb, ready to go off at any moment. Woe betide anyone who makes him even more upset than he already is. It doesn't matter how many times Agamemnon or any of his comrades try to coax him out of his tent, Achilles simply won't budge. His pride is overwhelming, and inextricably linked with his brooding, simmering wrath. Just as Achilles takes the appropriation of his concubine by Agamemnon as an affront to his pride, so too does he regard the killing of his bosom buddy Patroclus as a personal insult. Only the slaught...

What is the type of irony in "The Furnished Room"?

Much of the irony in "The Furnished Room" is verbal irony. It is to be seen in the contrast between the repellent appearance of the room and the whole building, on the one hand, and the humorous way the narrator describes the place, on the other. For example: Upon the gay-papered wall were those pictures that pursue the homeless one from house to house—The Huguenot Lovers, The First Quarrel, The Wedding Breakfast, Psyche at the Fountain. The mantel's chastely severe outline was ingloriously veiled behind some pert drapery drawn rakishly askew like the sashes of the Amazonian ballet.  The verbal irony is also glaring in the housekeeper's description of the furnished room and its actual condition. “This is the room,” said the housekeeper, from her furry throat. “It's a nice room. It ain't often vacant. I had some most elegant people in it last summer—no trouble at all, and paid in advance to the minute." We can imagine what sort of "elegant people...

Why did African slavery become one of the most basic consequences of the Age of Discovery?

The Age of Discovery, also referred to as the Age of Exploration, describes the time period beginning with the early fifteenth century and extending through the seventeenth century in which expanding European exploration signified invasion and colonization for many non-European peoples. Explorers during this time period primarily set off in search of new trade routes. In many cases, they also discovered lands that were unknown to Europeans but already inhabited by indigenous groups. Although slaves have been bought and sold to some extent since ancient times, the trend dramatically increased in the 1580s as millions of people were kidnapped from Africa and sent to the Americas to be sold as slaves. The Portuguese were the first Europeans to purchase Africans captured by rival tribes and send them to the New World to be sold; by 1600, many other European countries engaged in this quickly expanding transatlantic slave trade. The need for plantation workers in the American colonies at thi...

How was the system of slavery different for black men and women?

The experience of slavery for black men and women was similar in regard to the abuse and lack of rights they endured, but there are several unique differences between how each sex was treated. The most obvious difference comes from the fact that women are the ones who bear children. Because of this, women often suffered forced copulation with male slaves in order to produce children they might not be able to keep. This practice allowed slave owners to increase their number of slaves without purchasing additional people. In some cases, slave owners did not keep the children permanently but instead used them as a means of revenue by auctioning them once they were old enough. Since marriages between slave women and men were not legally recognized, any children produced between a husband and wife were subject to be removed from their parents at the behest of the slave owner. Since many women shouldered the responsibilities of child-rearing at the time, female slaves were most impacted by t...

Calculus: Early Transcendentals, Chapter 4, 4.9, Section 4.9, Problem 18

int f(t) dt=int sin(t)+2 sinh(t) dt = int sin(t) dt + 2 int sinh(t) dt We note that the derivative of cosh(t)=sinh(t) =>d/dx cosh(t) = sinh(t)=>d/dx sinh(t)=cosh(t) This means that int sinh(t) dt = cosh(t) +c_2 . We already know the anti-derivative of sin(t) , therefore the integral of f(t) is as follows: int f(t) dt = -cos(t) + c_1 + 2 cosh(t) + c_2 = -cos(t) + cosh(t) + c , where c=c_1+c_2 is a constant. To check that this solution works we differentiate, d/dx (-cos(t)+cosh(t)+c)=-(-sin(t))+sinh(t)+0=sin(t)+sinh(t) as we intended.

What is the significance of time in the play The Tempest? Is the time in The Tempest like the time of drama?

Time works in The Tempest in three principal ways: real time, or the present; past time; and magical time, or time-out-of-time. The real time is the same as that of drama. The play’s action takes place in real time, during one day. The action begins with the shipwreck, and within an unspecified short period, it picks up on the island’s shore, as Miranda tells her father that she just saw the ship split apart. The magical time complicates exactly how long that took. The past has two phases: twelve years earlier, when Prospero and his three-year-old daughter, Miranda, arrived on the island, and twelve years before that, when the pregnant Sycorax and Ariel arrived. Prospero relates some events that happened in Milan prior to the twelve years that elapsed, which Miranda was too young to remember. However, Shakespeare’s use of twelve years for both significant spans indicates that these are more mythical than strictly historical. The magical time is effected by both the wizard Prospero and ...

In Matched, what individual freedom or freedoms have the citizens of the society sacrificed in order to survive or exist?

In Matched by Ally Condie, the citizens of the Society live in a dystopian universe in which almost all of their freedoms have been curtailed and regulated by their government. The government "sorts" its citizens, assigning them their jobs, their houses, and even their life partners. They are provided with rationed food and are not allowed to live beyond the age of eighty. In order to achieve the latter, the government euthanizes its senior citizens by poisoning their food. The citizens are required to marry at the age of twenty-one and are not allowed to choose their own partners. Instead, the government "matches" them together, and the couple only learn each other's identities at a ceremony called the Match Banquet. The couple are then given a short period of courting before they are required to get married. The government also places its citizens under strict surveillance via the use of "ports," two-way channels in their households by which the gove...

What was the impact of the Enlightenment?

The Enlightenment was a period of philisophical thought and intelectual exploration which sought to advance society using science and reason. Starting in the late 17th century, this movement stood in stark contrast to the recent dark ages which had left most of Europe under the influence of Catholic tradition and monarchical rule. The morality of these institutions was called into question as people began to explore the physical world over the spiritual, and the common man over the wealthy. This major change impacted Europe and the world in a variety of ways, leading to philisophical, social and scientific revolutions. Philosophically, people began to focus on freedom and the rights of men, understanding his destructive and greedy tendencies and searching for a purer alternative. It also saw the bounds of religion and caused many to question its authority within their lives and within society. Socially, enlightenment thinking led to the uprising of many groups which believed they were ...

Precalculus, Chapter 1, 1.1, Section 1.1, Problem 56

Determine the length of each side of the triangle, where $P_1 = (-1,4), P_2 = (6,2)$ and $P_3 = (4,-5)$. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An $\textbf{isosceles triangle}$ is one in which at least two of the sides are of equal length. $ \begin{equation} \begin{aligned} P_1 P_2 =& \sqrt{[6-(-1)]^2 + (2-4)^2} \\ =& \sqrt{49+4} \\ =& \sqrt{53} \\ \\ P_2 P_3 =& \sqrt{(4-6)^2 + (-5-2)^2} \\ =& \sqrt{4 + 49} \\ =& \sqrt{53} \\ \\ P_1 P_3 =& \sqrt{[4-(-1)]^2 + (-5-4)^2} \\ =& \sqrt{25+81} \\ =& \sqrt{106} \end{aligned} \end{equation} $ Two sides are equal. Thus, $\Delta P_1 P_2 P_3$ is an isosceles right triangle.

What is the form, rhythm, and meter of "Portrait of Our Death" by Katherine Kilalea?

Form is the physical layout of the poem, including the rhyming pattern, rhythm, and repetition of the lines. "Portrait of Our Death" is written in free verse without a specific pattern or rhyming structure. Sometimes free verse poems will still use rhyme and rhythm without a particular pattern; however, "Portrait of Our Death" does not use a rhyme scheme. Rhythm in poetry is often defined by a certain syllabic structure that creates a metrical rhythm when read aloud. A great example of a poem with a clear rhythm is Edgar Allan Poe's "The Bells." The poem is written as a race, moving more quickly as the reading moves forward in the poem. "Portrait of Our Death" does not follow a syllabic structure, and does not have a rhyme scheme, and so, at first, it does not appear to have a rhythm. When a poem doesn't follow a pattern, the rhythm is most easily found by reading the poem aloud. The rhythm in this poem is found by identifying when Kilale...

Shaw rejected romanticism and embraced realism. How realistic is Arms and the Man? How much of it is "unrealistic"?

Shaw's Arms and the Man is not realistic, if we define realism as characterized by an attempt to accurately reflect life as it really is. I would agree that is an example of nineteenth century piece bien faite, using an improbable, if charming, romance plot to criticize unrealistic ideas about love and war. From the beginning, Shaw takes threatening situations and casts them in the least frightening of lights. A deserting solider, Bluntschli, climbs a balcony to hide in a young woman's room. Realistically, this would be very threatening to a young woman, but Shaw casts it in the lightest of tones. The two share a cheerful conversation, full of banter. They begin the process of falling in love. The play depicts the pitfalls of falling in love with an ideal or concept—a false persona. Raina falls in love with the idea of Sergius as a dashing war hero, and he does the same with her, as Raina is of a suitable class for a man like him. Nevertheless, he prefers Raina's servant, L...

What aspects of "Funny in Farsi" relate to intercultural theory, postcolonial theory and/or theories of language contact and development?

For this question, I will address postcolonial theory and intercultural theory in Funny in Farsi. The book, of course, documents Firoozeh Dumas' life growing up in Whittier, California, in the 1970s. Dumas' witty account of her Iranian-American life is both entertaining and instructive. There are certainly aspects of the book that relate to postcolonial theory and intercultural theory. Postcolonial theory basically embraces the idea of colonialism as an oppressive force, where the imperialist is a terrifying figure of authority and tyranny. Postcolonial literature highlights how the subaltern or politically disadvantaged individual navigates life apart from the oppressing force. In other instances, the term "postcolonial" also refers to individuals who choose to immigrate to the western sphere and to integrate into western society. Meanwhile, intercultural theory focuses on how these individuals adapt to their foreign environments and communicate with their western co...

Is the Bermuda Triangle a place of mystery, or is it all rumors?

The Bermuda Triangle covers an area in the Atlantic Ocean that goes approximately from Miami to Puerto Rico to Bermuda, making a triangular shape. There have been several instances of unexplained disasters occurring within this triangular area. Planes and ships have disappeared and never been found. Sometimes, these events occurred when the weather was very good. Because of these events, some people say mysterious forces caused these events to occur. Christopher Columbus reported a great crash of fire into the water that was followed by unusual compass readings. The range of theories runs from aliens, to reverse gravitational field, to eruptions of methane gas from the floor of the Atlantic Ocean. There doesn’t seem to be a disproportionate amount of incidents happening in this area when compared to incidents that have happened in other areas, though. It is probably more of a coincidence than anything else. Lloyd’s of London, which insures shipping vessels, doesn’t consider this area t...

1/3log_5(12x)=2 Solve the equation. Check for extraneous solutions.

To evaluate the given equation 1/3log_5(12x)=2 , we may apply logarithm property: n* log_b(x) = log_b(x^n) . log_5((12x)^(1/3))=2 Take the "log" on both sides to be able to apply the logarithm property: a^(log_a(x))=x . 5^(log_5((12x)^(1/3)))=5^(2) (12x)^(1/3)= 25 Cubed both sides to cancel out the fractional exponent. ((12x)^(1/3))^3= (25)^3 (12x)^(1/3*3)=15625 (12x)^(3/3)=15625 12x =15625 Divide both sides by 12 . (12x)/12 =(15625)/12 x =(15625)/12 Checking: Plug-in x=(15625)/12 on 1/3log_5(12x)=2  1/3log_5(12*(15625)/12)=?2 1/3log_5(15625)=?2 log_5(15625^(1/3))=?2 log_5(root(3)(15625))=?2 log_5(25)=?2 log_5(5^2)=?2 2log_5(5)=?2 2*1=?2 2=2  TRUE There is no extraneous solution. The x=(15625)/12 is a real solution for the given equation 1/3log_5(12x)=2 .

Who was Rasheed in A Thousand Splendid Suns like in The Kite Runner and The Thorn Birds?

It can be argued that Rasheed's character most aligns with that of Mary Carson from The Thorn Birds and Assef from The Kite Runner. All three share astounding similarities: they exhibit traits of megalomania and seem to suffer from what modern psychologists call narcissistic personality disorder. Those who suffer from the disorder often display arrogant, cruel, and vindictive behavior. They have an elevated sense of self-importance and revel in exploiting others for their own gain or pleasure. Additionally, narcissistic personalities have a strong sense of entitlement: they expect others to capitulate to their will at all times. Their sensitive egos also contribute to a "persecution complex." When thwarted, they take the rejection personally; they must have constant praise, adulation, and acknowledgement of their phenomenal brilliance. Otherwise, they respond with insults, contempt, and bullying behavior. Such personalities are also prone to envy, and they display little ...

What did Bear tell Crispin about Lord Furnival?

In chapter 22 of Crispin: The Cross of Lead, Bear ties Crispin to a tree while he goes off in search of food. Unsurprisingly, Crispin is not too pleased about this. However, Bear has his reasons. He is sure that the young lad will just get in the way. Alternatively, he might run off. After what seems like an eternity, Bear comes back carrying a large, fat rabbit. Crispin, though still reeling from his ordeal, sits down with Bear to eat some rabbit around their little fire. The conversation soon starts to flow. Bear regales Crispin with tales of his many adventures and escapades. He tells the young boy about his days as a soldier fighting in Gascony and Brittany. Crispin casually remarks that he has never seen his master, Lord Furnival, as he has been away fighting in France for such a long time. Bear tells Crispin that he fought alongside Lord Furnival in France, but he does not have time for him at all. Apparently, His Lordship was not much good as a soldier, although he did gain a re...

In "The Daughters of the Late Colonel," what are the nicknames of the two sisters? Why are their nicknames important/significant?

In this short story by Katherine Mansfield, there are two sisters, Constantia and Josephine, whose father has recently died. Josephine refers to her sister Constantia as "Con," while Constantia refers to Josephine as "Jug." There is no clear distinction made between the characters of the two women in the story. Even after their father, who clearly once laid down the law, has died, they worry about the propriety of such issues as what kind of hat to put on his dead body, fearing he would have protested their choice, and Josephine even fears that they should not have "let them bury father like that." The girls cannot face the prospect of a world without their father in it to tell them what to do, because they never expected to have to look after themselves or make their own decisions. Constantia and Josephine's nicknames for one another are both monosyllabic, brief, and almost childish. In both cases, the sisters have trimmed down their rather erudite na...