Given w f(z,y, 2) = zy²z. Find: Ograd/(1,3,-2) 3. (b) equation of the tangent plane to the surface zys = 12 at the point (1,3, -2). (c) directional derivative f-(1,3, -2) in the direction of a unit vector making angle of 60" with grad f(1, 3, -2).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given w = f(z, y, z2) = zy*z. Find:
3.
(a) gradf(1,3, -2)
(b) equation of the tangent plane to the surface zyz? = 12 at the point (1,3, -2).
(c) directional derivative f-(1,3, -2) in the direction of a unit vector making angle of 60° with
gradf(1, 3, -2).
Transcribed Image Text:Given w = f(z, y, z2) = zy*z. Find: 3. (a) gradf(1,3, -2) (b) equation of the tangent plane to the surface zyz? = 12 at the point (1,3, -2). (c) directional derivative f-(1,3, -2) in the direction of a unit vector making angle of 60° with gradf(1, 3, -2).
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