Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x,y,z) = xy + y2 –...
Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. 2) The direction in which f decreases most rapidly at A(0,1,1) is: 2 a. + 3 b. 是最+ i ++ d. 高+ C. 3 14 e. None of the above
Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. ... touch 25% 17:12 docs.google.com 2) The direction in which f decreases most rapidly at A(0,1,1) is: a. e. None of the above a. b. C. Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z-5,x=r+2s,y = 2r - sec(s),z=s
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
Please Solve As soon as Solve quickly I get you thumbs up directly Thank's Abdul-Rahim Taysir yie.com torms/d/e/1FAIpQLScCveXLRF8r7aSXSNG-7mxluz90govMXGSVNSQz1nMSr_-Q/viewform?hr submission=Chkl1cWpOeVLEhAlle OuQDlgd-GODEAE Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. 1) Vf = a. yi + (x +2y); – 3z2K b. (y + y)i + (x + 2y); – 3z2k c. xi + (y + 2y); - 3z2K d. None of the above O a Ob Od 111
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
Can i have this as soon as possible please? I will give a rate!! or f(x, y, z) x2y + y2 + xz , compute a) the directional derivative at ( 1, 2, 4) in the direction of 12,2,1) , b) the maximum value of the directional derivative of fat (1.2,4), and c) the direction of the minimum directional derivative of fat (1,2,4). (10 pts) or f(x, y, z) x2y + y2 + xz , compute a) the directional derivative...
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
Find the directional derivative of f at p in the direction of a. f(x,y,z)=xy+z^2; P(2,-2,2);A=i+j+k
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 -