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EXERCISE 4 Find Vƒ(P) and Djf(P). (a) f(1,y, 2) = y7 + 2² – 4rz; Ū = } i - { j+ } k; P(-2,1,3)

EXERCISE 4 Find Vƒ(P) and Djf(P). (a) f(1,y, 2) = y7 + 2² – 4rz; Ū = } i - { j+ } k; P(-2,1,3)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
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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Definition 3.40 If f is a function of three variables a, y and z such that fs, Jy and f; exist, then the gradient of f, denoted by Vj, is given by Hence, Dyf(1. y, 2) = U - V/(r, y, 2). Similarly |Vf(, ; ) vs the maximum value of D÷f at the point (r, y, 2). 12 EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r,y, 2) = y7 + ² – 4rz; Ū = } i – { j+ } k; P(-2,1,3)
Transcribed Image Text:Definition 3.40 If f is a function of three variables a, y and z such that fs, Jy and f; exist, then the gradient of f, denoted by Vj, is given by Hence, Dyf(1. y, 2) = U - V/(r, y, 2). Similarly |Vf(, ; ) vs the maximum value of D÷f at the point (r, y, 2). 12 EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r,y, 2) = y7 + ² – 4rz; Ū = } i – { j+ } k; P(-2,1,3)
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