Notes

We are given the data set (0,0),(1,2),(2,16),(3,52),(4,118),(5,223) and we are asked to fit these in a power model `y=ax^b ` : (1) The easiest way is to input the data in Excel or a graphing utility and perform a power regression yielding `y=2.04x^2.93 ` with a,b rounded to two decimal places. (2) To determine if the data set will fit a power model well we can plot (lnx,lny) and determine if the plot is approximately a straight line. Taking the natural logarithm of the coordinates yields the points (0,.6931),(.6931,2.773),(1.0986,3.9512),(1.3862,4.7707),(1.6094,5.4072). These points appear to lie on a line. Performing linear regression on these points yields the line y=.7146+2.929x So we have `lny=lna+blnx ` Exponentiating both sides with base e gives us: `y=e^(lna)*e^(blnx)=a*(e^(lnx))^b=ax^b ` where `a=e^(.7146) ` and b=2.929 So the power model is `y~~2.04x^(2.93) `

The parasympathetic nervous system is part of the autonomic nervous system whose activities in the body maintain both homeostasis and balance. It is active during the “rest and digest” physiological state. It normally serves to increase the glandular and intestinal activity, slow down the heart rate, decrease the blood pressure, as well as relax the sphincter muscles. It enhances food processing and the elimination of wastes under normal circumstances by stimulating and regulating digestion control. The neurons in this system make use of a neurotransmitter known as acetylcholine that allows for communication to take place from one cell to the next. The cholinergic fibers secrete acetylcholine. The parasympathetic nervous system, therefore, brings the body to a state of low activity where food digestion, as well as resting, occurs.

The decision by the Soviet Union to pull out of World War I was a decision that concerned the Allies. The Soviet Union signed the Treaty of Brest-Litovsk in 1918. The fighting against Germany in the Soviet Union would stop. The Soviet Union gave up a significant amount of land. Finland, Ukraine, and Georgia became independent. The Soviet Union gave Germany and Austria-Hungary land in Poland, Latvia, Lithuania, and Estonia. This treaty also impacted the Allies. Since Russia was one of the Allied Powers, the departure of Russia from fighting in World War I allowed Germany to concentrate its fighting on the Western Front. Germany was able to move troops from the Eastern Front to the Western Front. This gave Germany a better chance of winning the war. Fortunately, the United States had joined the war and helped the Allies. The Central Powers were eventually defeated, and the Treaty of Brest-Litovsk was nullified by the terms of the Versailles Treaty.

At first glance, it may seem as though Sandel, the fighter who opposes Tom King, is the antagonist of the story. Roughly two-thirds into the story, it even states  The third round began as usual, with Sandel doing all the leading, and delivering all the punishment.  However, even though Tom King does not fight back, it turns out Sandel is not the true antagonist of "A Piece of Steak," as evidenced by this quote a little bit further on: His gloves had already been removed, and Sandel, bending over him, was shaking his hand. He bore no ill-will toward the man who had put him out and he returned the grip with a heartiness that made his battered knuckles protest. "A Piece of Steak" is atypical of many stories because it does not have a person who is the antagonist; instead, the antagonist is simply old age. In the beginning of the story, Tom King sees Stowsher Bill crying in the dressing room and cannot fathom why such a prized fighter would be bent over in tears.  As t...

Both photosynthesis and rusting (formation of rust) are chemical reactions and represent chemical changes.  A chemical change involves a change in chemical composition of the reactants. That is, the products are different from the reacting species.  During the chemical reaction of photosynthesis, plants convert carbon dioxide and water into glucose and oxygen. The following chemical reaction takes place during photosynthesis: `6CO_2 + 6H_2O + sunlight -> C_6H_12O_6 + 6O_2` One can see that, in this process, the reactants are different from the products. Similarly, during the process of rusting, solid iron is converted to Fe(III) oxide, Fe2O3. This is the process which causes the loss of iron and the formation of the red powdery material known as rust.  In comparison to a chemical change, a physical change does not involve any change in the chemical composition of the reacting species.  Hope this helps. 

The part of the plot that you are asking about is in part one of Jean Craighead George's story.  At this point in the book, Julie is referred to by her Eskimo name, Miyax.  She is completely lost, which is bad in normal situations, but Miyax's situation is not normal.  She is on the North Slope of Alaska, which is about as barren of a wasteland as you can get.   The barren slope stretches for three hundred miles from the Brooks Range to the Arctic Ocean, and for more than eight hundred miles from the Chukchi to the Beaufort Sea. No roads cross it; ponds and laces freckle its immensity. In addition to being a barren wasteland, it's full of wolves.  That's scary, but Miyax is not scarred of the wolves . . . at all.  In fact, she believes that the wolves can help her.  She knows that the wolves are better hunters and killers than her, so Miyax is hoping to figure out a way to communicate with the wolves.  She wants to tell the wolves that she is hungry and needs some of th...

For the given integral problem: `int_(-pi/2)^(pi/2) cos(x)/(1+sin^2(x)) dx` , we can evaluate this applying indefinite integral formula: `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x)` as the antiderivative of `f(x)` `C` as the constant of integration. From the basic indefinite integration table, the  problem resembles one of the formula for integral of rational function:  `int (du)/(1+u^2)= arctan (u) +C` . For easier comparison, we may apply u-substitution by letting: `u = sin(x)` then `du =cos(x) dx` . Since `x=+-pi/2` then `u=+-1` `int_(-pi/2)^(pi/2) cos(x)/(1+sin^2(x)) dx                            `=int_-1^1 (du)/(1+u^2)`                           `= arctan(u) |_-1^1 `                              `=arctan(1)-arctan(-1)`                           `=pi/4- (-pi/4)`                                         `=pi/4+pi/4`                                         ` =(2pi)/4`                                         `= pi/2`

Given to solve, `lim_(x->oo) (x^2 +4x+7)/(x-6)` as `x->oo` then the ` (x^2 +4x+7)/(x-6) =oo/oo` is of indeterminate form so upon applying the L 'Hopital rule we get the solution as follows, If `lim_(x->a) f(x)/g(x) is = 0/0` or `(+-oo)/(+-oo)` then by using the L'Hopital Rule we get  the solution with the  below form. `lim_(x->a) (f'(x))/(g'(x))` so , now evaluating `lim_(x->oo) (x^2 +4x+7)/(x-6)` = `lim_(x->oo) ((x^2 +4x+7)')/((x-6)')` = `lim_(x->oo) (2x+4)/(1)` by plugging the value `x=oo` , we get =` 2(oo)+4` = `oo`

A useful way to think about poetry is that poems make observations about the human experience. "O Captain! My Captain!" was inspired by the death of Abraham Lincoln, a man Walt Whitman greatly admired; in fact, the poem is an elegy, a formal poem of mourning. Because Whitman does not name Lincoln as the subject of the poem, it can be read as a work that captures the emotions surrounding the death of a greatly admired or respected leader. The speaker exhorts his captain to rise from the deck where he has fallen dead; he wants the captain to be able to enjoy the rewards of the successful journey they took together and join the people who are gathered to celebrate. He implores the captain to rise and receive the adulation of the crowds gathered in his honor. At the end of the poem, the speaker sorrowfully observes that his captain cannot answer and has not lived to share in the triumph. Whitman's controlling idea is the tragedy inherent in the death of a leader who doesn...

For this assignment, you will need to use historical facts to imagine yourself living in a different time and place.  The rise of industrialism led to major changes in U.S. cities, such as New York, Boston, and Philadelphia.  Before the rise of factories and large machinery, goods were made by hand.  Cloth was typically made from hand spun wool and cotton threads using looms.  Tools were made by blacksmiths.  The development of factories meant that these items and others could be produced on a large scale by low wage, low skill workers.  More and more people crowded into cities to take factory jobs in the late 19th century.  Many of these people were immigrants. Though many people were employed by factories, their wages were low.  People often lived in crowded, dirty tenement houses in the city.  It was common for many family members to crowd into a one small apartment unit.  Communal bathrooms in the hall were sometimes shared by several units.  Tenement houses were not always built a...

The Lilliputians are very warlike while the society of Brobdingnag is quite peace-loving and gentle, especially in comparison to the society of Lilliput.  In Lilliput, terrible wars have been fought and thousands have died over disagreements about which side of the egg should be cracked: the big end or the small.  The emperor of Lilliput becomes angry with Gulliver when Gulliver refuses to decimate the Blefuscudian fleet or participate in the enslavement of the citizens of Blefuscu by the Lilliputians.  Ultimately, he charges Gulliver with treason and plans to put him to death for his supposed crimes against the state.  The ruler of Brobdingnag, on the other hand, recoils from Gulliver and pronounces his countrymen to be the most hateful race of vermin that has ever inhabited the world after Gulliver tells him all about their society and military and politics.  This society is much more peaceful than Gulliver's and the Lilliputians'.

Jalaluddin Mohammed Akbar was a Moghul emperor who was born in 1542 and died in 1605. He is also sometimes referred to as Akbar the Great in honor of both his conquests and his insight into relations between people of different religions. Oddly enough, despite his great success as a ruler, he was the only Moghul ruler who was illiterate. This was due to his refusal to be educated. Although he was not formally educated, he encouraged the education of others and supported the arts during his reign. Akbar was thirteen years old when he became emperor, although he did not begin ruling personally until he was twenty years old. To secure other territories, he would often make marriage treaties with the raja of the territory that allow them to maintain the status of royalty if they were willing to acknowledge Akbar as the emperor. He also allowed the sons of the rajas to be educated in his court, many of whom went on to be ranked highly and/or become trusted advisers to Akbar despite the dif...

The United States was a growing country in the 1800s. We doubled the size of our country with the Louisiana Purchase in 1803. We were building new roads and canals. Eventually, train transportation became common. These new forms of transportation help to encourage and to support our westward expansion. With the expansion of the National Road from Maryland to Illinois, people found it easier to travel to the West. It was also easier to transport the products that were needed for people to live in the western regions. The Erie Canal connected Lake Erie with the Hudson River. Thus, it was possible to travel by water from the Atlantic Ocean to Lake Erie. This also made it easier for people to move westward and for products to be shipped. As the steam engine developed, train transportation grew. The growth of the railroads had the same impact as the expansion of our roads and the building of canals. These improvements in transportation made it easier to settle in the western regions and eve...

The term "dog whistle" is used in Mr. Lopez's book as a metaphor for saying one thing that is audible to everyone, but in reality suggesting an unheard castigation of a racial group which those particularly addressed will hear. During his tenure as president, Lopez contends, President Ronald Reagan employed this strategy of "dog whistle politics" using such terms as "welfare queens," "strapping young bucks," and "states' rights."  In his effort to reduce federal spending, President Reagan sought to trim down certain government programs such as the welfare programs using similar methods that he had successfully employed as governor of California. One effort that Reagan made was that of seeking to eliminate fraud that existed in this program. When he spoke on this topic, Reagan employed what Lopez terms "dog whistle politics." For, he spoke during his campaign in 1980 of "welfare queens" who abused the system ...

I'm not sold on the concept of Allendale, California being "perfect," but I do think it is a good choice for this story's setting. California is a leader in the technology industry. There's an entire region called Silicon Valley which is basically dedicated to propelling the tech industry forward. Silicon Valley is located in Northern California. Specifically, it is just south of San Francisco. Using a straight line, the distance to Allendale is only 50 miles away from San Francisco. That puts Allendale very close to a major technology hub. If any house is going to be fitted with all kinds of futuristic gadgetry, it's likely to be a home that is located near innovative technology hubs. Allendale fits into that category. The proximity to San Francisco also leads to another reason why Allendale is a good choice for this story's setting. Being such an iconic city and having such a dense population, San Francisco is a believable target for a nuclear weapon. Al...

In this scene, Shakespeare presents Lady Macbeth as a manipulative, ruthless, and diabolical woman. When she reads Macbeth's letter that acquaints her with his news from the Weird Sisters, she becomes anxious for him to come home. She believes that he is too good and kind to "catch the nearest way" to the throne, and she wants to "pour [her] spirits into [his] ear" and make him see her way. She also prays to murderous spirits to come to her and remove any sense of remorse or compassion from her and fill her up, from her toes to the top of her head, with ruthlessness and strength so that she can go forward with the evil plans she's already making. Although she desires to be completely remorseless and without feeling, the fact that she has to pray for it makes it seem as though this is not really her natural character. She is ambitious, clearly, but if she were already totally ruthless, she wouldn't have to pray for assistance to be ruthless. Therefore, Sh...

When Nick first steps into the home of Tom and Daisy Buchanan, he describes the scenery in incredible detail.  In part, he says, "A breeze blew through the room, blew curtains in at one end and out the other like pale flags, twisting them up toward the frosted wedding-cake of the ceiling, and then rippled over the wine-colored rug, making a shadow on it as the wind does on the sea."  In these lines, he compares the rippling curtains to pale flags flapping and twisting in the breeze via a simile (one clue is that he uses the word like ).  He also compares the ceiling to a frosted wedding cake via a metaphor , probably because the ceiling is so intricately designed that it resembles something light and lofty, like frosting on a very fancy wedding cake would be.  Then, he compares the breeze rippling and producing a shadow on the carpet to the wind doing the same on the sea via a simile (a clue is that he uses the word as ). 

In Animal Farm , Napoleon assumes two titles. Firstly, in Chapter Five, he becomes known as "our Leader, Comrade Napoleon" and, in Chapter Eight, Minimus, one of the pigs, writes an anthem in his honour. Napoleon has this anthem inscribed on the wall of the barn, next to the Seven Commandments, along with a portrait of himself. In Chapter Nine, however, Napoleon takes a far more important title when he is elected the President of Animal Farm. It is important to note that Napoleon is the only candidate in the election and, unsurprisingly, wins "unanimously." From this point, Napoleon's authority is unquestionable and this is demonstrated by his first actions as President: he reveals further details of Snowball's so-called treachery and sells the injured Boxer to a horse slaughterer.

A corpus is a collection of "thousands or millions of words" that are considered to be authentic samples of the native speaker's language usage (Muller, F., & Waibel, B., "Corpus Linguistics--An Introduction," University of Freiburg). The samples are stored in electronic databases for analysis, and analysis is usually done through computer software (Muller & Waibel). Hence, corpus linguistics can be defined as "the study of language" by analyzing these "naturally occurring language samples" (Muller & Waibel). One purpose of corpus linguistics is to monitor the evolution of "specific features in the history of English" (Muller & Waibel). Muller and Waibel gives us the development of the words "gonna or wanna" in the English language as an example. The very first step to writing a research paper in which you conduct a corpus analysis is to decide exactly what you want to discover through your analys...

The short answer is that the characters in Vonnegut's story find themselves in a situation very similar to the one described in Plato's scenario. They are prisoners in a carefully restricted, artificial reality. Ordinarily, their freedom is restricted so much that they can't even perceive clues that another, greater reality exists. When they are confronted with clear evidence from a prisoner who has escaped and discovered the truth, the prisoners remain unconvinced. Pain and the misleading nature of their perceptions prevent the prisoners from attempting escape. To appreciate these correspondences, let's first take a look at key elements in the Allegory of the Cave. Then we'll consider the specific ways in which "Harrison Bergeron" matches up. In Plato's allegory, people are held prisoner and allowed to look only at the wall opposite them. They have lived there since they were children, chained and shackled, and cannot move around or look behind them. ...

Given to solve, `int sqrt(9+16x^2) dx` by using the trig substitution , we can solve the integral for `sqrt(a +bx^2)` ` dx ` the `x` is given as `x= sqrt(a/b) tan(u)` so, for the integral `int sqrt(9+16x^2) dx` let` x=sqrt(9/16) tan(u) = (3/4) tan(u)` =>` dx = (3/4) sec^2(u) du` so, `int sqrt(9+16x^2) dx` =`int [sqrt(9(1+16/9 x^2))] ((3/4) sec^2(u) du)` = `3 int [sqrt(1+(16/9)x^2)] ((3/4) sec^2(u) du)` = `3 int sqrt(1+(16/9)((3/4) tan(u))^2) ((3/4) sec^2(u) du)` = `3 int [sqrt(1+(16/9)(9/16)(tan^2 u))] ((3/4) sec^2(u) du)` = `(9/4) int sqrt(1+tan^2 u) (sec^2(u) du)` = `(9/4) int sqrt(sec^2 u) (sec^2(u) du)` `= (9/4) int sec u (sec^2(u) du)` `= (9/4) int (sec^3(u) du)` by applying the Integral Reduction `int sec^(n) (x) dx` `= (sec^(n-1) (x) sin(x))/(n-1) + ((n-2)/(n-1)) int sec^(n-2) (x) dx` so , `(9/4)int sec^(3) (u) du` = `(9/4)[(sec^(3-1) (u) sin(u))/(3-1) + ((3-2)/(3-1)) int sec^(3-2) (u)du]` = `(9/4)[(sec^(2) (u) sin(u))/(2) + ((1)/(2)) int sec (u)du]` =`(9/4)[(sec^(2) (u) sin(...

There are a number of steps involved in heating water from 25 degrees C (298 degrees K) to 125 degrees C (398 degrees K). Water turns into steam (gas phase) at 100 degrees C (373 degrees K). The steam will then be heated from 100 degrees C to 125 degrees C. These are the steps involved in calculation: 1.) Heating water from 25 degrees C to 100 degrees C: Energy needed = mass of water x specific heat capacity of water x temperature change = 200 g x 4.184 J/g/K x (373 - 298) K = 62,760 J. (note that 75 degrees C increase in temperature is same as 75 K change). 2.) Evaporation of water or conversion to steam: Energy needed = mass of water x latent heat of evaporation  = 200 g x 2259 J/g = 451,800 J 3.) Heating steam from 100 degrees C to 125 degrees C: energy needed = mass of steam x specific heat capacity of steam x temperature change  = 200 g x 2.02 J/g/K x (398-373) K = 10,100 J Thus, the total energy needed = 62,760 + 451,800 + 10,100  = 524,660 J or 524.66 kJ . Hope this helps.

While America did benefit from being in WWI, other nations did as well.  America sent aid in the form of food to Belgium and Northern France toward the end of the war and in the immediate aftermath.  Herbert Hoover, a man who would be unjustly blamed for the Great Depression, organized this food drive and was considered a supply genius at the time.  He kept millions of people from starving to death.   America was also important in promoting the idea that people should govern themselves.  Wilson's Fourteen Points helped to create Yugoslavia and the Baltic republics of Estonia, Latvia, and Lithuania.  This helped to at least curtail the ethnic violence that helped to create the conditions that led to WWI.   Finally, one cannot discount the role of the League of Nations, though it was short-lived and America never joined.  The whole idea that the world's major powers could join an organization and arbitrate issues was momentous.  Before this, nations went to war first, and used ar...

There are two different issues at stake here. The first is whether Shakespeare would have considered Shylock justified and the second is how a contemporary reader would approach the question. When read in original context, Shakespeare gives Shylock a wonderful speech which seems to justify his hatred of Christians ("Hath not a Jew eyes? ..."). Shylock makes a convincing argument for his being an injured party. On the other hand, much of the play is anti-Semitic, emphasizing Shylock's greed and vindictiveness in opposition to Christian charity. Thus I suspect that Shakespeare's original audience would not have considered Shylock justified and would have assumed that Antonio, a far milder character, would not have insisted on the bond being fulfilled. After all, a pound of human flesh is not of any real use to anyone.  Modern audiences, especially as we live in a post-holocaust world, are more sensitive to the plight of Jews as an oppressed minority. On the other hand, ...

Any industry in which a company can stand to make more money through limiting competition or misleading others can find organizations in it that may be tempted to participate in collusion. Perhaps the best way to determine which industries might continuously struggle with collusion is to look back on the organizations that have struggled with it in the past. One such industry would be the sports entertainment industry. Both Major League Baseball as well as the National Basketball Association have dealt with accusations of collusion in its ranks in recent years. MLB owners attempted to restrict players' salaries through collusion and allegations exist that NBA free agents shared potential contract information to help a team avoid the salary cap. Another example of an industry where collusion might occur would be found when there are multiple rules and regulations that are difficult for the average consumer to understand. For example, the various taxes and service fees associated wit...

(a) I do not have a current copy of Excel. Here are the instructions to get the results from the F-Test: (1) Enter the data into columns A and B (2) From the toolbar select Data -> Data Analysis (3) Analysis Tools -> F-Test (4) Input the ranges for A and B (5) Input the confidence level: Here since we are looking for a difference (not that one is greater/less than the other) we must use `alpha/2=.025 ` (6) Select where you want the output to be sent. You should get the following information: F=1.941286452 p=0.0673612091 `S_(x1)=71.8375172 ` `S_(x2)=51.5592394 ` ` bar(x_1)=448.7179487 ` `bar(x_2)=451.7 ` n1=39 n2=30 (b)Do not reject the null hypothesis. p>.05. If p<alpha we reject the null hypothesis as the random sample should not occur by chance if the variances are actually equal.

According to the two documents that you have attached here, the United States caused the Cold War.  The two documents do not really agree on why the US caused the conflict, but they both agree that it did so. The first document argues that the US caused the Cold War on purpose.  The Soviet ambassador asserts that the US is bent on dominating the world.  He says that the US feels that it has the right to rule the world.  Because of this, he says, the US has set out on a foreign policy that is meant to expand capitalism around the globe.  The Cold War happened because the US and the USSR each thought the other was trying to dominate the world.  In this document, the Soviet ambassador clearly states his belief that the US really is trying to dominate the world.  This means that the Cold War is due to the actions of the US. The second document implies that the US caused the Cold War without meaning to do so.  This document was written by the US Secretary of Commerce who had previously serv...

As there seem to be several different and not entirely related questions here, this answer will focus on giving you a starting point for answering some of them. For the mission statement, you should think through the big picture rather than focusing on narrow immediate goals. In other words, you should think about whether, for example, certain forms of corporate social responsibility matter to you or whether you are focused purely on financial success. You should also consider what you would consider a major life achievement; for example, would you be most satisfied with innovating technologically, improving people's lives, or building a company as an entrepreneur? This relates to the difference between SMART and stretch goals. SMART is an acronym for "specific, measurable, achievable, realistic, timeline." These are narrow, short-term goals that are steps on your way to "stretch" goals, which are your ultimate aims. In a sense, stretch goals are where you aim t...

Being a good listener can be helpful in many ways. In an educational setting, being a good listener can mean paying attention to a teacher's lesson and gaining a better understanding of the material. Socially, being a good listener helps us to engage with others in meaningful ways. When we are engaging with something like music, film, or nature, being a good listener can help us appreciate the complexity of the subject and become more aware of our surroundings. Being a good listener doesn't just mean hearing every single sound that is presented to us. It is important that we think about the meaning conveyed and critically assess the information. For example, if your teacher says that Shakespeare was a genius, what is the meaning of this phrase? Does your teacher simply mean that he was very intelligent, or that his writing expressed his intelligence, creativity, and talent? Lots of genius people have contributed interesting and insightful things to the world, so what makes Shak...

Scout notices that Calpurnia speaks differently when she is around other black people at First Purchase African M.E. Church.  Around the Finch family, Calpurnia uses more formal language.  Scout thinks that Calpurnia should always speak the way she does around her and her family.  She tells Calpurnia that she knows better and should not speak differently at church. Calpurnia notes that it is a difficult situation to be in.  She tells Scout that if she spoke formally to her friends and family at church, it would seem out of place.  To them, it would not seem like her talking.  She is concerned that they would think she is "puttin' on airs to beat Moses" ( To Kill a Mockingbird , Chapter 12).   Again, Scout reminds Calpurnia that she knows better than to talk the way she does at church.  Calpurnia tells Scout that "it's not necessary to tell all you know.  It's not ladylike—in the second place, folks don't like to have somebody around knowin' more than ...

Amir, the protagonist of Khaled Hosseini's The Kite Runner , is a young Pashtun boy who witnesses the beating and rape of his friend, Hassan, but makes no effort to intervene. Amir eventually leaves Kabul after Soviet forces begin to intervene in Afghanistan. Amir only returns to his homeland many years later in order to rescue Sohrab, the orphaned son of Hassan, as an attempt to find "a way to be good again." Thus, one might argue that Amir is most like Father Ralph in Colleen McCullough's The Thorn Birds . Amir, although unlikable and cowardly throughout much of the novel, is not a proactively aggressive character (unlike Luke O'Neill, who marries Meggie only to cruelly neglect her and steal her wages and savings). Rather, Amir's greatest downfall is his passivity and weakness. Father Ralph suffers from this same flaw; he attempts to avoid conflict and "sells out" by accepting Mary's inappropriate bequest so he may gain favor within the Catholi...

Heat is a form of energy produced by the sun, but how is it created or emitted?  The sun is a star, and like Earth, is composed of several layers of matter. Unlike the outermost layer, or lithosphere, which is solid the inner layers of Earth are liquid. The gravitational force of our planet pulls all matter towards its center, creating an enormous amount of pressure. To get an idea of the effect this pressure has on matter, I will use the example of the metals iron and nickel. The increased pressure in the outer core causes these elements, normally solids on the lithosphere, to liquify. The most abundant elements found on the Sun are hydrogen and helium. Hydrogen, which is the first element on the Periodic Table of Elements, contains one proton and one electron and is a flammable gas. Helium, the second element, contains two protons and two electrons and is more stable by comparison. Hydrogen's reactivity is due to the single electron in a shell that can hold two. Helium's two ...

The hatchet has several meanings for Brian.  Although it is essential to his survival, it is also a connection to his past. His mother gave it to him, and when he thinks of her, he thinks of The Secret.  The Secret is his mother’s affair, and the reason for the divorce.  He saw her with a man who was not his father, and that fact ate away at him.  He almost said no when she gave it to him. He fingered the hatchet at his belt. It was the only weapon he had, but it was something. He had to have some kind of shelter. No, make that more: He had to have some kind of shelter and he had to have something to eat. (Ch. 5) The hatchet was useful to Brian as a way to build his shelter, and get food.  He tries to make a spear with it.  He can chop up wood with it.  He feels more comfortable knowing that he has some kind of weapon. Brian decides to go into the plane to get the survival pack.  Getting the survival pack is difficult, but the thought of what it might have sustains him.  Getting it out...

 Paul, the protagonist of this story, comes across as innocent. He is depicted as young and "childish." We know his mother is, sadly, not capable of loving her children. Paul confuses the words luck and lucre, a sign of his innocence, and also an unintentional irony, as money will be anything but lucky for him. Additionally, he displays an innocence in riding a rocking horse furiously and then demanding of it, "take me where luck is." Anyone with experience would know that wouldn't work.  Further, when Paul begins winning races, he does it all to please his mother. He doesn't care about his own gain. When he wins the 5,000 pounds, he gives it all to her and does so anonymously. He doesn't even care if she knows it came from him. He just wants her to be happy. He is too innocent to realize that no amount of money will fill her empty space and too innocent to realize her problem is inner emptiness and not lack of money. He is so innocent that he kills hims...

Parens patriae means "parents of the country," and refers to the right of the state to take action against negligent or abusive parents or legal guardians and to act in the place of the parent for children or people who are legally adults but unable to take care of themselves, such as incapacitated adults. Due process of law is the requirement that the state provide all people with their legal rights; due process rights mean a person has the right to be heard in court before being sentenced. Juveniles accused of committing a crime have four basic rights: to be informed of their rights and of the charges against them; the privilege against self-incrimination; to be represented by legal counsel; and to confront their accuser and cross-examine witnesses. These rights come from the 1967 Supreme Court case In Re Gault . This case provided many — but not all — due process rights to juveniles. For example, juveniles do not have the right to a trial by jury.  The juvenile court syst...

Via Merriam-Webster : Indoctrinate: to teach (someone) to fully accept the ideas, opinions, and beliefs of a particular group and to not consider other ideas, opinions, and beliefs The easiest way to indoctrinate someone is to start with a fresh slate. For humanity, there is no fresher slate than a child who, naturally, has very few preconceived notions of right or wrong, moral or immoral. The village in the story uses this to their advantage, even going so far as to state that "The children assembled first, of course." At the end of the story after Tessie Hutchinson is selected by the lottery, the narrator again points out the participation of the children by saying, "The children had stones already. And someone gave little Davy Hutchinson a few pebbles." The village has so successfully explained away the lottery that even the winner's (or perhaps the loser's from an outside view) children participate without protest.

The title of Paulsen's novel Hatchet , refers to an actual hatchet that Brian received as a gift from his mother. The hatchet comes to symbolize several things in the novel but it primarily symbolizes survival and becomes an important tool Brian uses to survive after the plane he is in crashes. The hatchet is worth mentioning as one of the items Brian needs to survive because of its importance in the story. In addition, Brian must acquire other items to survive. The plot of the novel  revolves in part around the acquisition of certain survival items that Brian needs. Brian often uses the hatchet to help him get the other items that he needs to survive. These items include shelter, food, water and fire. Along with these physical items, Brian also realizes that some other types of items are needed for survival. After several bouts of emotional crying, Brian realizes that he must remain positive and not waste energy on crying. When attempting to make fire, Brian must attempt the task ...

Jared Diamond's book,  Guns, Germs, and Steel , tries to answer Yali's question about why Europeans have so much more "cargo" (material goods) than  the natives of Papua New Guinea. The major strength of the book is the manner in which Diamond avoids racist and ethnocentric arguments. Arguing that people from all over the world are equally intelligent, work equally hard, and are equally creative, he suggests instead that geographical and environmental factors play a key role in the disparity of technology and development. His sensitivity to geographical factors, including the existence of specifically domesticable crops and animals in particular regions, is innovative and interesting as is his effort to discredit racism. The major weaknesses of the book are twofold. First, covering such a broad sweep of history, he can overgeneralize and sometimes relies too much on striking anecdotes. Second, he has a degree of tunnel vision, focusing on geographical determinism and ...

A root cause analysis takes place when a team of experts that is not directly involved in an event examines a serious adverse event or a close call that occurred during treatment of a patient in a healthcare setting. The investigation is intended to reveal what happened, why it happened, and how this event could be prevented in the future. In this case, the incident that triggered a root cause analysis was that the patient suffered a myocardial infarction (MI) that was probably the result of a prescribing error. The problem should be investigated, as the patient was receiving the wrong dose of medication (according to the article, "the patient had been receiving 0.4 units/min of vasopressin, rather than the intended dose of 0.04 units/min"). The reason for this error should be investigated so it can be prevented in the future.  The steps necessary to conduct the root cause analysis are to produce a timeline to investigate why the patient received the wrong dose of medication,...

In this document, Betty Friedan, one of the founders of NOW or the National Organization for Women, writes that women's status in society was in decline in the 1960s because women's longer lifespans meant that a small portion of their lives would be devoted to child rearing. However, women's roles in rearing children still meant that they were largely barred from professional opportunities. In addition, Friedan writes that technology has made many of the tasks women used to perform around the home unnecessary, and technology has also made the need for physical strength unnecessary in the workplace. The current economy calls for what she calls "creative intelligence" and for positions that women can fill as easily as men can.  Friedan states that 46.4% of American women currently work outside the home but that 75% of them work in traditionally female occupations such as clerical jobs, housekeeping, sales, factory jobs, or similar work. African-American women are la...

Recall that indefinite integral follows `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x)` as the antiderivative of ` f(x)` `C` as the constant of integration.  For the given  integral problem: `int x^3 sin(x) dx` , we may apply integration by parts: `int u *dv = uv - int v *du` . Let: `u = x^3`  then `du =3x^2 dx` `dv= sin(x) dx` then `v = -cos(x)` Note: From the table of integrals, we have `int sin(u) du = -cos(u) +C` . Applying the formula for integration by parts, we have: `int x^3 sin(x) dx= x^3*(-cos(x)) - int ( -cos(x))* 3x^2dx`                                `= -x^3cos(x)- (-3) int x^2*cos(x) dx`                                `=-x^3cos(x)+3 int x^2 *cos(x) dx` Apply another set of integration by parts on `int x^2 *cos(x) dx` . Let: `u = x^2` then `du =2x dx` `dv= cos(x) dx` then `v =sin(x)` Note: From the table of integrals, we have `int cos(u) du = sin(u) +C` . Applying the formula for integration by parts, we have: `int x^2 cos(x) dx= x^2*(sin(x)) - int s...

On page 88, Lyddie receives a letter from her mother.  The letter is very depressing.  It asks for money, tells Lyddie that the other children are not doing so well, and says that Lyddie's baby sister, Agnes, is dead.   After finishing the letter, Lyddie tries to remember what Agnes looked like.   She strained, squenching her eyes tight to get a picture of her sister, now gone forever.  She was a baby. She couldn't have been more than four the winter of the bear, but that was now nearly two years past. She would have changed.  Lyddie's thoughts of Agnes take Lyddie back to when a bear invaded their house, and Lyddie fended it off.  That was just about the last time that Lyddie saw her mother and Agnes, because it was after the bear attack that Lyddie's mother left with everybody except Lyddie and Charlie. The above quote confirms for readers exactly how long Lyddie has now been on her own.  She has been away from her farm and family home for almost two years.  

Most people think of the phases of matter as being due to temperature, but that isn't quite right. They also depend upon pressure. Under the conditions we're most familiar with in daily life, temperature variations are much larger than pressure variations, so it makes sense to think of the freezing and boiling points of substances as being due to their temperature only. (Even then, try making pasta in Colorado, and you shall see that pressure does matter.) The purpose of a phase diagram is to express this relationship in one clear graphical form; the regions of the phase diagram show what phase of matter a substance will be in given both temperature and pressure. If you move left or right on a phase diagram, you are changing temperature while holding pressure constant. But if you move up or down on a phase diagram, you are changing pressure while holding temperature constant. (Diagonal motion changes both at once.) Depending on what substance you're dealing with and where y...

This book had a profound impact on the food industry. While Sinclair wrote  The Jungle  in 1906 order to build public sympathy for the plight of oppressed workers, he happened to set his story amid the meatpacking plants of Chicago. As a result, the novel set off a firestorm of protest about the lack of sanitation in the food industry. In the novel, anything, including human bodies, that happened to fall into the food vats were ground up and canned. At this time, there were no government inspections of meat plants and no real way for people to know what they were buying. As a result of people's worry and revulsion after reading the book, which was a bestseller, meat sales fell. In 1906, the government passed the Pure Food and Drug Act and the Meat Inspection Act to reassure the public that they were buying what they thought they were buying. Government inspectors could now enter meat packing plants, inspect what was going on, and certify the products as safe for consumption. Sincla...

It is possibly true that at least some of the human characters in  Charlotte's Web can be determined by their appearances. Fern's family: her brother, parents, and extended family who live nearby, behave and speak pretty much the way one would expect farmers of that era and place to behave. The animal characters in Charlotte's Web,  however, cannot necessarily be determined by their appearances. One would not expect that a spider, a pig, and a rat would have much intelligence and emotion (at least intelligence and emotion as we humans perceive it) Yet, they do!  Charlotte's physical appearance as a spider, is so inconspicous, that humans would hardly notice her. Yet, she was capable of great things, especially for Wilbur, the pig. Wilbur, the pig, while certainly big enough to be noticed by animals and humans alike, was helpless to change his situation. Until Charlotte took pity  intervened for him, he was destined to become bacon and pork roasts by the time the first ...

The Crucible takes place in Salem, Massachusetts, in 1692. Salem, a city near Boston, was part of the Massachusetts Bay Colony, which was founded by Puritans. The Puritans ruled the colony as a theocracy, a government in which religious leaders were in control and religion was the law of the land. Puritans saw the world as a battle between good versus evil, and they saw the woods and lands outside their towns as the devil's domain. This establishes the paranoid tone of The Crucible , in which the Puritans believe witchcraft is at work, and establishes an atmosphere in which people still believe in witches' power to control them and wreak havoc in the town. In 1692, a witch hunt actually occurred in Salem, and 20 people were executed. Miller bases his play on some of these real events.

At Athena's insistence, Zeus sends Hermes to tell Calypso that she must release Odysseus, her seven-years prisoner and lover.  Calypso is undeniably upset by this news, especially in regard to the double standard she identifies among the gods and goddesses.  Gods routinely take mortal female lovers without incident, but whenever a goddess takes a mortal male lover, the gods order that he be killed in some tragic fashion.  It isn't fair. However, she tells Odysseus that she will release him, giving him all the help he needs to build a sailing vessel and any provisions he requires for his journey.  She will not disobey Zeus.  She isn't happy about it, though, and she offers Odysseus immortality should he decide to remain with her.  Calypso also knows how hard Odysseus's journey home will be, and she advises him to remain in ease and comfort on her island.  His choice, then, is to remain in safety, immortal, and beloved by a goddess or leave and eventually reach home after...

When Friar Laurence says goodbye to Romeo just before Romeo leaves for his exile in Mantua, Friar Laurence says he believes the day will come when they can "reconcile [Romeo and Juliet's] friends," by which he means they can end the feud between the Montagues and the Capulets (3.3.161).  Perhaps this desire to end the ancient grudge that results in so much violence, compounded with the Friar's honest desire to see these young lovers safe and happy, motivates Friar Laurence's decision to help Romeo and Juliet. Further, when Friar Laurence addresses the Capulets on the morning they find Juliet "dead," he seems to chastise them by saying, "'twas your heaven she should be advanced." He to the fact that Juliet's parents pushed her to marry the County Paris, who they saw as a very advantageous match because he is a relation of the Prince. Had Juliet's parents cared more about her happiness or ending the feud, Friar Laurence argues, none o...

Juliet tends to deal with challenges by following her heart.  She knows that her family would not approve of her feelings for Romeo, but she pursues those feelings nonetheless.  She says, "O Romeo, Romeo, wherefore art thou Romeo? / Deny thy father and refuse thy name, / Or if thou wilt not, be but sworn my love, / And I'll no longer be a Capulet" (2.2.36-39).  She hopes that Romeo will be willing to stand up to his father and even relinquish his family name and honor; if he will not, she is willing to give up her own.  Thus, she ranks the demands of her heart far above anything like family pride; any challenge her family would present to their marriage is nullified by her lack of concern for it. After Romeo kills Tybalt, Juliet is unsure how to respond.  She knows that she should love her husband, but she also knows that she should hate the man who killed her cousin; the fact that both are the same man leaves her confused.  She wonders, "wherefore, villain, didst th...

Given the curve equations ,they are `y_1=x^2 + 2x +1` -----(1) `y_2=2x + 5` -----(2) to get the boundaries or the intersecting points of the curves we have to equate the functions . y_1=y_2 => `x^2 + 2x +1= 2x + 5` => `x^2-4 =0` => `(x+2)(x-2)=0` => `x=2 or x=-2` So, The area   = `int _(-2) ^2 ((2x + 5) -(x^2 + 2x +1)) dx `  = `int _(-2) ^2 (4-x^2) dx ` = `[4x - x^3 /3]_(-2) ^2 ` =`[8-8/3] -[-8 +8/3] = 8-8/3 +8 -8/3 =16 -16/3 = 16(1-1/3) = 16*2/3 = 32/3 ` so area of the region enclosed by the curves is = `32/3`

A mixture is made up of a number of compounds. For example, trail mix is a mixture and can contain raisins, dry fruits, grains, seeds, chocolate chips, pretzels, among other possible ingredients. The components of a mixture still retain their individual properties. For example, we can pick any component of trail mix and taste it. We can also separate the individual constituents of a mixture by physical means. In comparison, a chemical reaction is one in which two or more species react and form new compounds. The compounds thus formed have a different chemical composition as compared to that of the reactants. The products have different properties than the reactants and cannot be reverted back to reactants as easily as a mixture can be separated into individual constituents. An example of a chemical reaction is the photosynthesis process, in which carbon dioxide and water react, in the presence of sunlight, to form glucose and oxygen. Hope this helps.