Suppose f (z, y) = , P = (-4,-3) and v =-2i + 4j.A. Find the gradient of f.i+jVf =Note: Your answers should be expressions of x and y e.g. "3x - 4y"B. Find the gradient of f at the point P.(Vf) (P) =i+Note: Your answers should be numbersC. Find the directional derivative of f at P in the direction of vDuf =Note: Your answer should be a numberD. Find the maximum rate of change of f at P.Note: Your answer should be a numberE. Find the (unit) direction vector in which the maximum rate of change occurs at P.i+ju=Note: Your answers should be numbers

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Suppose f (z, y) = , P= (-4,-3) and v =-2i + 4j %3D %3D A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y, e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ j %3D Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v D.f = Note: Your answer should be a number

Suppose f (z, y) = , P= (-4,-3) and v =-2i + 4j %3D %3D A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y, e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ j %3D Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v D.f = Note: Your answer should be a number

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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