[Gradient Vectors] Let f(x, y, z) = x^3z − yz2 . (a) If we start at the point (1, 3, 2), then in what direction should we move if we want to maximize the directional derivative? (b) What is the instantaneous rate of change of f if we change the variables in the direction from part (a)? (c) What must be true for any direction if the instantaneous rate of change from (1, 3, 2) is equal to 0? What

[Gradient Vectors] Let f(x, y, z) = x^3z − yz2 . (a) If we start at the point (1, 3, 2), then in what direction should we move if we want to maximize the directional derivative? (b) What is the instantaneous rate of change of f if we change the variables in the direction from part (a)? (c) What must be true for any direction if the instantaneous rate of change from (1, 3, 2) is equal to 0? What

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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