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3. Let f(x, y) = cos(ex) + 4xy + 4y + 5 and P = (-1,3). a. b. C. Find the rate of change of f at P when moving in the direction (12,-5). In which direction from P does f increase at the fastest rate? (Normalize your answer.) At what rate does f increase when moving from P in the direction given in (b)?

3. Let f(x, y) = cos(ex) + 4xy + 4y + 5 and P = (-1,3). a. b. C. Find the rate of change of f at P when moving in the direction (12,-5). In which direction from P does f increase at the fastest rate? (Normalize your answer.) At what rate does f increase when moving from P in the direction given in (b)?

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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3. Let f(x, y) = cos(ex) + 4xy + 4y +5 and P = (-1,3). a. b. C. Find the rate of change of f at P when moving in the direction (12,-5). In which direction from P does f increase at the fastest rate? (Normalize your answer.) At what rate does f increase when moving from P in the direction given in (b)?
Transcribed Image Text:3. Let f(x, y) = cos(ex) + 4xy + 4y +5 and P = (-1,3). a. b. C. Find the rate of change of f at P when moving in the direction (12,-5). In which direction from P does f increase at the fastest rate? (Normalize your answer.) At what rate does f increase when moving from P in the direction given in (b)?
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