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QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) = at the point (4.-4, 4) in the direction in which the function increases v zx most rapidly.

QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) = at the point (4.-4, 4) in the direction in which the function increases v zx most rapidly.

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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) =+ at the point (4,-4, 4) in the direction in which the function increases most rapidly. QUESTION 21 Find the absolute maxima and minima of the function on the given domain. f(x y) = x² + xy + y² on the square -5 sx, y s5 Absolute maximum: 75 at (5, 5) and (-5, -5); absolute minimum: 0 at (0,0) Absolute maximum: 25 at (5, -5) and (-5, 5); absolute minimum: 0 at (0,0) O Absolute maximum: 25 at (5.-5) and (-5, 5); absolute minimum: at - |3. - and -5. O Absolute maximum: 75 at (5, 5) and (-5,-5); absolute minimum: 25 at (5,-5) and (-5, 5)
Transcribed Image Text:QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) =+ at the point (4,-4, 4) in the direction in which the function increases most rapidly. QUESTION 21 Find the absolute maxima and minima of the function on the given domain. f(x y) = x² + xy + y² on the square -5 sx, y s5 Absolute maximum: 75 at (5, 5) and (-5, -5); absolute minimum: 0 at (0,0) Absolute maximum: 25 at (5, -5) and (-5, 5); absolute minimum: 0 at (0,0) O Absolute maximum: 25 at (5.-5) and (-5, 5); absolute minimum: at - |3. - and -5. O Absolute maximum: 75 at (5, 5) and (-5,-5); absolute minimum: 25 at (5,-5) and (-5, 5)
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