Question 5Find all the local maxima, local minima, and saddle points of the function.f(x, y) = (x² – 9)² + (v2 - 4)²f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point;f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimumf(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum;f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimumf(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3,0) = 16, saddle point;f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimumf(0,0) = 97, local maximum; f(-3,-2) = 0, local minimum

Answered: Image /qna-images/answer/8cadcd8a-66f5-432e-b852-678c03995801.jpg

Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x² – 9)² + (2- 4)² f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point; f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D %3D %D f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3, 0) = 16, saddle point; f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D f(0, 0) = 97, local maximum; f(-3, -2) = 0, local minimum

Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x² – 9)² + (2- 4)² f(0,0) = 97, local maximum; f(0, 2) = 81, saddle point; f(0, -2) = 81, saddle point; f(3, 0) = 97, saddle point; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3,0) = 16, saddle point; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D %3D %D f(0, 0) = 97, local maximum; f(3, 2) = 0, local minimum; f(3, -2) = 0, local minimum; f(-3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum f(0, 0) = 97, local maximum; f(0, 2) = 81, saddle point; f(3, 0) = 16, saddle point; f(3, 2) = 0, local minimum; f(-3, -2) = 0, local minimum %3D f(0, 0) = 97, local maximum; f(-3, -2) = 0, local minimum

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 48E

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