5. Find the absolute max and absolute min of f(:1, y) = x2 + 2y2 –...
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
9) Find the absolute maxima and minima of the function f(x,y) = x2 + xy + y2 on the square -8 < x,y 5 8
cense. This license can only be 5. Given f (x,y) = 12 + x2 + 2y2 the point P(2,1)and vector u =< a. Find the directional derivative at the point in the direction of u b. Find the Gradiant
4. Find the maximum and minimum values of f(x, y) = 4x2 + 10y2 on the disk x2 + y2 < 4.
Find the extreme values of 'f' on the region described by the inequality. 22. f (x, y) = 2x2 + 3y2 – 40 – 5, x2 + y2 < 16
5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0 <y< 1 f(r, y) elsewhere (a) Find k (b) Find P(0<x< 1, 0<Y<0.5) (c) Find marginal density fi(a) and f2(y) (d) Are X and Y independent? (e) Find E(X) () Find P(X2 0.5). expression for fi(x|y); (g) an
Find any global max or global min ) For the function f(x) = 2x3 - 6x2 +6 ;(-1<x<3)
Find the absolute maximum and minimum values of f(x,y) = 2x + y4 on the set D = {(x,y) x2 + y2 <1}.
Find the absolute min/max of on the domain f(,y) = x2 + y2 +r+y + 4 We were unable to transcribe this image
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.