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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 25E

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Question

Consider the following equation.
f(x, y) = sin(4x + 4y), P(-8, 8),
u =
(a) Find the gradient of f.
Vf(x, y) =
(b) Evaluate the gradient at the point P.
Vf(-8, 8) =
(c) Find the rate of change of f at P in the direction of the vector u.
Duf(-8, 8) =

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