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b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum increase, maximum decrease, and zero change. What angle(s) is/are associated with the direction of maximum increase? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of maximum decrease? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What onglofc) icloro occociated with the direction of oro chongo?

b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum increase, maximum decrease, and zero change. What angle(s) is/are associated with the direction of maximum increase? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of maximum decrease? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What onglofc) icloro occociated with the direction of oro chongo?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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The gradient evaluated at P is 12,-12

A function f and a point P are given. Let 0 correspond to the direction of the directional derivative. f(x,y) = 16-2x²-3y², P(-3,2)
Transcribed Image Text:A function f and a point P are given. Let 0 correspond to the direction of the directional derivative. f(x,y) = 16-2x²-3y², P(-3,2)
b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum increase, maximum decrease, and zero change. What angle(s) is/are associated with the direction of maximum increase? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of maximum decrease? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of zero change? The angle(s) associated with the directions of zero change is/are (Type any angles in radians between 0 and 2t. Type an exact answer, using as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum increase, maximum decrease, and zero change. What angle(s) is/are associated with the direction of maximum increase? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of maximum decrease? (Type any angles in radians between 0 and 2. Type an exact answer, using as needed. Use a comma to separate answers as needed.) What angle(s) is/are associated with the direction of zero change? The angle(s) associated with the directions of zero change is/are (Type any angles in radians between 0 and 2t. Type an exact answer, using as needed. Use a comma to separate answers as needed.)
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