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ÉmileFor Rousseau, the fundamental aim of education can be seen in his idea of how "Man is born free, but lives in chains." Rousseau believes that any notion of human perfectability and success of...

Gorilla, My LoveArguably theme, character and narration are all inextricably intertwined in this brilliant short story to present the reader with the view and perspective of a young girl who desperately tries to...

MathThe notation `a_7` means that n=7. Substituting this value of n to the given equation results to: `a_n=12(1/2)^(n1)` `a_7=12*(1/2)^(71)=12*(1/2)^6` To simplify (1/2)^6, apply the exponent...

MathEquating coefficients gives `r_1+r_2+r_3=4` (1) `r_1r_2+r_1r_3+r_2r_3=6` (2) Multiply equation (1) by `r_1,` then `r_2,` then `r_3.` This gives three new equations...

MathCn=(n^2 1) / (n^2 +1) `C_n=(n^21)/(n^2+1)` `lim_(n>oo)C_n=lim_(n>oo)(n^2(11/n^2))/(n^2(1+1/n^2))` `=lim_(n>oo)(11/n^2)/(1+1/n^2)` `=1` Thus sequence converges and its limit will 1.

MathGiven `f(x)=2(x4)^2+5` fraph of this function is Let Inverse of f i.e `f^(1)(x)` ,where either `f^(1)(x)=4sqrt((x5)/2)` or or `f^(1)(x)=4+sqrt((x5)/2)` But...

MathThe cost equation will be equal to the overhead plus the production cost, which is equation to 500 multiplied by the number of coats sold (x): C(x)=2000 + 500x The profit equation will be equal to...

Silas MarnerSilas Marner, a previously friendly man, keeps very much to himself in the town of Raveloe. He and others like him would have been distrusted as he is a "wandering man" and, because of his...

Marriage and DivorceThere are two possible ways to argue this. On the one hand, we can say that samesex marriage is not an issue of marriage and federalism. Instead, it is an issue of civil rights. We would not say...

MathTo multiply the given terms use the rule x^a*x^b = x^(a+b). x^4 *x^8 = x^(4 + 8) = x^12 t^15*t = t^(15 + 1) = t^16 The required product is x^4 *x^8 = x^12 and t^15*t = t^16.

The Adventures of Tom SawyerThe “Adored Unknown” in The Adventures of Tom Sawyer is a girl. She is a girl that Tom first sees in Chapter 3 and with whom he immediately falls in love. At the point that Tom sees the girl...

NightIn my mind, the question is focused on how the book explores political and personal forms of cruelty. Part of what makes the book so compelling is that it details how political cruelty and...

ScienceThe strength of an acid is proportional to the number of molecules and ions that are present in the acid solution. The stronger the acid the more ions that are present and the weaker the acid the...

As You Like ItIn Jacques long speech in Act 2, Scene 7, he is essentially praising Touchstone, who he just met in the forest. He finds it hilarious that Touchstone should be so deeply philosophical even though...

ScienceConservationists are not necessarily against the extinction of certain species; some of them understand that natural evolution may involve such a consequence. What they strenuously oppose is when...

A White HeronDear loyalty, that suffered a sharp pang as the guest went away disappointed later in the day that could have served and followed him and loved him as a dog loves! In her final paragraph,...

MathThe depreciation takes place exponentially A is amount , rate of depreciation r% annually , and n is time in years P is purchased price.Then `A=P(1r/100)^n` (i) 1. r= 12 %...

ScienceKjedal's method or Kjedal's digestion is a method of determining the amount of Nitrogen which is a component in organic substance. In other words this method is a quantitative analysis of N in a...

MathSee attached image. `theta_(qps) = 9050=40 deg` `theta_(pqs)=9035=55deg` `theta_(qsp) = 1804055=85 deg` Using the law of sines: `sintheta_(qsp)/(pq)=sintheta_(qps)/(qs)` `sin85/70=sin40/(qs)`...

MathWe can rewrite the equation in the form ax^2 + bx + c = 0. Add 5 on both sides first. `x^2 + 4x + 5 = 5 + 5` `x^2 + 4x + 5 = 0` Multiply both sides by 1 to make the leading coefficient...

OthelloThe theme of honor and how appearances can be deceiving is emphasized during Othello's final speech in Othello. Believing himself "an honorable murderer" (V.ii.298)because he killed Desdemona...

MathSolve `sqrt(x)+sqrt(x8)=2` Square both sides (Note that this might introduce extraneous solutions) `(sqrt(x)+sqrt(x8))^2=2^2` `x+2sqrt(x)sqrt(x8)+x8=4` `2sqrt(x)sqrt(x8)=2x+12`...

The CayThe storm has passed, but Timothy is dead, leaving the blind Phillip to survive alone on the island. After Phillip buries his friend's body, he begins the process of cleaning up around the camp and...

MathYou need to evaluate the cross product of vectors `bar v_(R^3)` and `bar w_(R^3)` , such that: `bar v_(R^3) X bar w_(R^3) = [(bar i, bar j, bar k),(a, b, 0),(c, d, 0)]` `bar v_(R^3) X bar w_(R^3)...

CanadaThe plight of Canada's indigenous people has been sadly similar to that of their fellow tribes south of the U.S.Canada border. A recent report by the Canadian Human Rights Commission describes a...

LeadershipThere are at least two ways in which relationships are difficult for leaders. First, relationships between the people who are being led can make leadership difficult. For example, imagine that...

MathThe particle stops if the velocity is 0, hence, you need to solve for `t in [0,2pi]` the following equation, such that: `v(t) = 0 => 3cos(2t) = 0 => cos(2t) = 0` `2t = +cos^(1) (0) =>...

Law and PoliticsThe private sector consists of all organizations whose owner is not the the government, hence, the private sector is not operated by the government. The public sector consists of all organizations...

EconomicsThe question does not include the list of "following effects" to which it refers, so I'll do my best to answer based upon firsthand observations. There is a direct correlaltion between the...

BusinessWithout a doubt, the supervisory duties that I least prefer are those that bring conflict and unhappiness. These are the sorts of burdens that make positions of authority much less pleasant at...

The River BetweenChege's role in this narrative is to give his son, Waiyaki, the charge of fulfilling the prophecy that he received as the seer of his people. An ancient prophecy was received that said a descendent...

The Great GatsbyNick was told by his father, at some point before the time of the adventures retold in The Great Gatsby, that "a sense of the fundamental decencies is parcelled out unequally at birth" and that he,...

BusinessIf you are looking at things from a point of view of economics, then you need to keep money in mind. This is twofold. First, you need to think about how to make money, and second you need to think...

MathYou need to find the equation of the plane passing through the point A(1,1,0) and perpendicular to the line `(x + 1)/4= (y + 2)/5= (z + 3)/6` , hence, you need to consider the point `B(x,y,z)` in...

Filling Station“The Filling Station” by Elizabeth Bishop elicits the speaker’s need for her mother. The tone of the poem varies from stanza to stanza. The poet is disgusted by the dirt, yet this is her...

War Powers Resolution (1973)The answer is a complex one. On a level, I think that it can be seen that Congress wanted to slow down the war machine that had dominated the American Presidency after World War II. Truman,...

ProbabilityThe probability of a twosided coin landing head side up is the same each time it is flipped. Since there are only two possible outcomes, heads or tails, there is a 50% probability that the flip...

MathThe equation x1/4=3/4 has to be solved for x. x1/4=3/4 add 1/4 to both the sides x  1/4 + 1/4 = 3/4 + 1/4 => x = 1 The solution of the equation is x = 1

The Red Badge of CourageThe remit of Crane in this text seems to be wider than simply discussing the merits or otherwise of war. In fact, the text seems to point towards a consideration of the universe's response to human...

GoodBye to All ThatWhat dogged the production of this text was the debate about how accurately this memoir reflected the "truth," or rather the disordered and rather chaotic sanity of its author. Critics at the time...

Math`f(x)=x^2/(x+1)lt=4` First we will rearrange the function to bring all terms to the same side: `f(x)=x^2lt=4(x+1)` `f(x)=x^2+4x+4lt=0` Using the calculus method, we must take the derivative...

Mathcos100.cos280sin100.cos350 `cos(100^o)cos(280^o)sin(100^o)cos(350^o)` `cos(100^o)cos(180^0+100^o)sin(100^o)cos(36010)` `cos^2(100)sin(100^o)cos(10^o)` `cos(90+10)=sin(10^o)`...

MathThe function f(x) = 1*(x  4) = 4  x To determine the inverse function of f(x) use the property `f(f^1(x)) = x` . For the given function `f(f^1(x)) = x` => `4  f^1(x) = x` => `f^1(x)...

LeadershipFor a team to function optimally the leadership must establish and clearly communicate the processes or procedures to be followed in various adverse or negative situations. Most adverse situations...

HistoryNapoleon Bonaparte of France is usually credited with the onset of a period of great interest in all things Egypt, as his invasions of the 1800’s included the home of King Tutankhamen, a place...

Flowers for AlgernonThe main setting of the book is the laboratory and bakery in New York City sometime after the 1950’s. The story takes place in New York City. The first “progris riport” is written on March 9...

Calculus1) a) `y = 3/x` , `x>0` The area under the graph is given by `int_0^infty 3/x dx = 3log(x)_0^infty = 3[lim_(x> infty)log(x)  lim_(x>0)log(x)] ` `= lim_(x> infty) x` b) `y = 12x`,...

Social SciencesClearly, closed primaries must be compared and contrasted with some other form of selecting people to run for office. I will assume that you mean for us to compare closed primaries with open...

MathThe area of an ellipse is given by `A = pi*a*b` . The equation of the ellipse `48x^2 + 72y^2 = 3456` can be written as: `48x^2 + 72y^2 = 3456` => `x^2/(3456/48) + y^2/(3456/72)` => `x^2/72 +...

HistoryThe colonists had a "token" member of the British Parliament. This member represented all British territories outside the British Isles, not just the Colonies, so his voice was not necessarily an...