Consider the following equation. f(x, y) = sin(4x + 5y), P(-15, 12), u =(√31-1) (a) Find the gradient of f. Of(x, y) = (b) Evaluate the gradient at the point P. V(-15, 12) = (c) Find the rate of change of f at P in the direction of the vector u. D-15, 12) =
Consider the following equation. f(x, y) = sin(4x + 5y), P(-15, 12), u =(√31-1) (a) Find the gradient of f. Of(x, y) = (b) Evaluate the gradient at the point P. V(-15, 12) = (c) Find the rate of change of f at P in the direction of the vector u. D-15, 12) =
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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