sin πχ, ф'(x) = 1, and φ2(x)-x. Find c, and c2 so that SA) = cM(x) + сфг(x) gives the best ap- 1. *Let f(x) proximation in the mean to fon [-1, 1] sin πχ, ф'(x) = 1, and φ2(x)-x. Find c,...
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(z) = z, and f(z)-(z" + 1). 10. Let φ(z) = 1, (a) Find q and ca so that S2(z) qo,(z) + co2(z) gives the best approxilna. tíopn in the mean to f on I-1, 11 (from the orthognal system {фі,02). (b) Graph the functions f and S2 on -1, 1
(z) = z, and f(z)-(z" + 1). 10. Let φ(z) = 1, (a) Find q and ca so that S2(z) qo,(z) + co2(z) gives the best approxilna....
Find, to 10 significant figures, the unique turning point xof Sa ) 2 f(x) = 5 sin - sin in the interval [1, 2] and enter it in the box below. 踊》 Find, to 10 significant figures, the value of the second derivative off"(x) at the turning point, that is f)Enter your answer in the box below Il
Find, to 10 significant figures, the unique turning point xof Sa ) 2 f(x) = 5 sin - sin in the interval...
. Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1
. Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1
(1 point) Let f(x) = 8 sin(2) a.) If'(2) < b.) By the Mean Value Theorem, \f(a) – F(0)| < la – b) for all a and b.
6. Let f(x,y) = xy+sin(x). Find all directions (unit vectors) so that the directional derivative off at the point (1,0) equals -
HW on independent rivins I - © Let sa o<x<1 - ocy<x</ f(x,y)= z ó otherwise and the correlation Find Coo (X,Y) coefficient s. X ② Let 8(x, y) -f / 1 e 2 xso, y so otherwise and the correlation Find Coo (X,Y) coefficient s.
Let a random variable X have the p.f. f(x) = c(|x| + 1)^2 for x = 0, ±1. Find the constant c so that f(x) is a valid probability function. Then, find E(X), E(X^2 ) and var(X).
Questions 1 and 2
1. Find the gradient of f(I, y) = sin(Zy+5). 2. Let f(x, y, z) - ryz + x) (a) Find the gradient of f. (b) Find an equation of the tangent plane to the level surface ryz + 2 = 5 at the point (2,1,1).
(b) Let X be a continuous random variable with pdf given by: f(x) =c#x Find the constant c so that f(x) is a pdf of a random variable. C (ii) Find the distribution function F(x)P(X Sx)X (ii) Find the mean and variance of X. .Col니loa, ,iaaa4
DONT ANSWER MY PREVIOUS QUESTION IN CALCULUS
Expert Q&A 1. (4pts) In both parts a) and b), let f(x)= sin(sin x) and consider the integral J:sin(sin x)dx a) Find K such that If"( < K on [0, π]. C sin(sin) e'cx cos Crinx).corx b) How large should n be in order to guarantee that the Midpoint Rule approximation for f sinsin x)dx is accurate to within 0,.001? 0
Expert Q&A 1. (4pts) In both parts a) and b), let f(x)=...