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MathAnything in the span of `vecv` and `vecw` is of the form `a[[1],[4],[2]]+b[[3],[1],[1]]=[[a+3b],[4a+b],[2ab]],` so `[[x],[y],[z]]` will be in this span if and only if `x=a+3b,` `y=4a+b,` and...

ScienceIn order to solve for this, first we have to do the word equation for the reaction. `Copper + 6 M Nitric acid > unknown bluecolo red solution + Nitric O x ide gas` Solution of Copper (II)...

Math`e^(2x)=3x^2` Let us define f(x) as `f(x)=e^(2x)3x^2` `f'(x)=2e^(2x)6x` `f''(x)=4e^(2x)6` `f'''(x)=8e^(2x)` `f^n(x)=(2)^n e^(2x)` Expand in Taylor series about x=0 ,we have...

CinemaIn American Violet could someone tell me how Dee used her strengths to overcome her problemsCould...In general, Dee does not have many advantages to her side in the narrative. It is for this reason that the demonstration of her fervent passion and sense of resistance is so compelling. If Dee...

MathIn trigonometry 180 degree angle is represented by a angle of pi radians. In other words Radian describes the plane angle subtended by a circular arc as the length of the arc divided by the radius...

Social SciencesThe simple answer to this is that more people would vote if voting were required by law. But that is most likely not why you are being asked this question. Instead, you are being asked if this...

World War IIFirst, we have to understand that this is a subjective question. There is no objective way to determine what is or is not moral. Second, in order to answer this, we must in some way define what we...

HistoryWhile it is certainly possible to see John Brown in both ways, I am more inclined to see him as a murderer than as a martyr. Fanaticism is not typically justified, even in a good cause. John Brown...

HistoryThere were a number of movements that were prominent to one degree or another during the 1960s. Let us look at some of the ones that were most prominent. One of the most important movements of...

ScienceWe can use the combined gas law to solve this problem. It is expressed as: `(P_1 V_1)/(T_1) = (P_2 V_2)/(T_2)` P1 = 90 kPa = 0.8883 atm V1 = 450 mL = 0.45 L T1 = 17 + 273.15 = 290.15 K P2 = 110 kPa...

MathThe value of `lim_(x>oo)sqrt(4x^2+1)/(x+1)` has to be determined. Substituting `x = oo` gives the indeterminate form `oo/oo` . This allows us to use l'Hopital's rule and substitute the...

MathThe height of the water in a harbor can be modeled by `h(t)=10+4sin((pi/10)* (t2))` , where t is...The height of water in the harbor can be modeled by the function `h(t) = 10+4*sin((pi/10)*(t2))` , where t is the time in hours. The minimum value of a sine function sin(x) = 1 when `x =...

The MisanthropeThe similarities between Nora in A Doll's House and Alceste inThe Misanthrope can be categorized in the following three aspects: characters versus their society purpose versus misunderstanding...

The Poetry of HopkinsOne way that it might be said that Hopkins corrects, or provides answers for, the defects of Romantic poetry as illustrated by "God's Grandeur" is by tying metaphysical religious themes into the...

Math`I =int 55x(lnx)^2 dx= 55 int x(lnx)^2dx` To solve using integration by parts, use the formula `int udv =uv vdu` . So let, `u=(lnx)^2` and `dv= xdx`...

The GiverThe supposed idyllic world of The Giver is characterized by "sameness." The sky is a greyish color when there really is no color; the climate is controlled. With no real sunshine or rain or weather...

Silent SpringRachel Carson wrote about the harmful effect of pesticides on the environment and its effect on people and animals, particularly birds. The title Silent Spring is meant to evoke an emotional...

Math`lim_(x>3)(f(x)2)/(x2)=4` Now we use the following rules for limits: `lim_(x>a)(f(x))/(g(x))=(lim_(x>a)f(x))/(lim_(x>a)g(x))` `lim_(x>a)(f(x) pm g(x))=lim_(x>a)f(x) pm...

ScienceLack was born in London and educated at Gresham's School, Holt, Norfolk, and Magdalene College, Cambridge, where he studied Natural Sciences. He was the oldest of four children of Harry Lambert...

HistoryFor centuries, the area that is now Israel had been controlled by the Ottoman Empire. In World War I, the Ottoman Empire took the side of Germany and the Central Powers. For this reason, it lost...

The Lady of ShalottIf this epistolary narrative is confined to Part 1, note the differences between the outside world and the Lady's prison inside. The outside world is described in vibrant terms: "fields of barley...

MathEach interior angle of n regular polygone is `angle s=((n2)xx180)/n` (i) since exterior angel of given polygone is `72^o` `` Therefore corresponding interior angle is =`18072=108^o`...

MathWe have given `3x^2+12x+39=0` factor out 3 because HCF(3,12,39)=3 `x^2+4x+13=0` We wish to write it as `A^2+2AB+B^2=(A+B)^2` Thus x^2+4x+4+9=0 (x+2)^2=9 (x+2)^2= 9i^2 Taking square root ,both...

Dramshop ActsNo, these types of laws should not be extended to other contexts. A dramshop act is one which holds an establishment responsible if it sells alcohol to a person who is already drunk. The reason...

EcologyWetlands are a distinct ecosystem that consist of lowlying, flooded lands with lots of still, standing water. They can be either naturally occurring or manmade. One important aspect of wetlands...

Social SciencesThe contracts that were made between the large American automakers and the UAW in years past continue to weigh the American automakers (often known as the “big three”) down because they require...

HistoryHitler started to rule Germany because he was appointed chancellor. In the German political system of the time, there was a President who was the head of state. That person had the right to...

ScienceThe strength of an acid refers to the tendency of a certain acid to lose a proton. One of the main differences between a strong and a weak acid is the degree of dissociation in water. Strong acids...

MathLet `u=(u_1,u_2,u_3),v=(v_1,v_2,v_3),w=(w_1,w_2,w_3)` . Now `u.(vxxw)=det[[u_1,u_2,u_3],[v_1,v_2,v_3],[w_1,w_2,w_3]]` . By given problem, `u.(vxxw)=20` . We want to find `u.(uxxw)` . Now,...

The AwakeningIn The Awakening the theme of individuality is brought up through the discoveries that Edna Pontellier encounters along the way of trying to find herself as a person and, most importantly, as a...

Rights of Animals, TheEthically speaking, we should be humane to animals because they are typically completely (or almost completely) at our mercy. We have an obligation to treat them in ways that do not constitute an...

MathIt takes 9 hours for Isabella to rake leaves by herself, but her brother Matthew can work three... (1 image)For 1 complete job, it takes 9 hour for Isabella to finish it alone.So, her rate is: `Rate=(Work d o n e)/(time)` `R_I=1/9` Since Matthew works three times as fast as compared to Isabella, then his...

MathThe t statistic can be calculated for the given data sets in the following way (you can check the results from the calculations done in the given websites): Step 1: Stating the hypotheses Null...

ScienceThe standard breath analyzer test used by law enforcement to measure the blood alcohol content actually measures the amount of ethanol vapor in an exhaled breath which can then be used to estimate...

Sharon PollockIn Walsh by Sharon Pollock, our sympathies are shaped by James Walsh's dilemmas—his attempts to align his ethics with the demands of his career; his interactions with Sitting Bull; his...

MathA quadratic function, in graph form, is a parabola. A quadratic function can appear in three formats, the standard form of which is `f(x)=ax^2+bx+c` In standard form this equation `x^2+y=4+x^2`...

MathWe have given `int2x(x^2+1)^10dx` `substitute` `x^2+1=t` `2xdx=dt` `int2x(x^2+1)dx=intt^10dt` `=int1*t^10dt` `=1*t^(10+1)/(10+1)int((d)/(dt)(1))*t^11/11dt` `=t^11/11int0 dt` `=t^11/11+c` consider...

MathThe only reference that I know of that uses `iota` as a specific value is that sometimes the imaginary unit is denoted `iota` , whereas it is usually denoted i. If you are asking about the...

MathIs there an easier procedure to determine derivative of a polynomial using first principles, i.e....From first principles the derivative of a function f(x) is given by: `f'(x) = lim_(h>0)(f(x+h)  f(x))/h.` In the case of a polynomial f(x) = ax^n + bx^(n  1)... to determine the derivative...

Dreams from My FatherInDreams from My Father,Barack Obama is the main character. The story centers around his early life and career and it is his inner conflict over the role race and heritage will play in his life...

MathYou need to use the definition of null space of matrix, such that: `A*N(A) = 0` `N(A)` represents the set of vectors such that `A*N(A) = 0` Performing the multiplication yields:...

MathYou may find the row space R(A) considering all the possible combinations of row vectors of matrix A. You need to identify the row vectors of matrix A, such that: `r_1 = (2,1,3); r_2 = (4,1,4)`...

Cat on a Hot Tin RoofThe presence of disease and death can be seen throughout Act I. The most demonstrative way that this is evident would be with Big Daddy, himself. There is sickness evident, even though he is...

MathInstead of showing it for this particular case, it is actually less work to prove that the null space and row space are orthogonal complements (perpendicular) for any matrix `A.` To do this,...

ScienceFor simplicity we assume that all gasses behave as ideal gasses when it comes to the gas laws (PV=nRT). This assumes that individual gas particles have no mass and no intermolecular forces exist...

PoetryPatel describes the process of killing a tree as something deliberate and thorough in its intent. Patel's rendering is not murder as a rash and thoughtless act. Rather, it is shown to be a...

Aztec EmpireThere are at least two ways to answer this question. First, we can say that the Aztecs were the group of people who controlled an empire that was centered on the Valley of Mexico at the time that...

Social SciencesIn political science, the term “hard money” refers to money that is (in the United States) given directly to candidates to use for their own campaigns as they see fit. This is money that the...

Law and PoliticsIt is difficult, and perilous, to attempt to prosecute individuals or groups solely on the basis of their association. The right to peaceful assembly and the freedom of speech protect types of...

A Modest ProposalThis is a good topic to pick, so well done! You might want to think of a solution but coming from a slightly different direction. Have you thought of the solution actually being for the government...