Question 19 Find all the local maxima, local minima, and saddle points of the function. f(x y) = (x2 - 81) + (v2 - 491 f(0, 0) = 8962, local maximum; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum; f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(0, -7) = 6561, saddle point; O f(9, 0) = 8962, saddle point; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum; f(-9, 0) = 2401, saddle point; f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum O f(0, 0) = 8962, local maximum; f(-9, -7) = 0, local minimum f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(9, 0) = 2401, saddle point; f(9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum A Moving to another question will save this response.
Question 19 Find all the local maxima, local minima, and saddle points of the function. f(x y) = (x2 - 81) + (v2 - 491 f(0, 0) = 8962, local maximum; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum; f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(0, -7) = 6561, saddle point; O f(9, 0) = 8962, saddle point; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum; f(-9, 0) = 2401, saddle point; f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum O f(0, 0) = 8962, local maximum; f(-9, -7) = 0, local minimum f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(9, 0) = 2401, saddle point; f(9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum A Moving to another question will save this response.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 63E
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Transcribed Image Text:Question 19
Find all the local maxima, local minima, and saddle points of the function.
f(x y) = (x² - 81)² + (v2 - 49)
f(0, 0) = 8962, local maximum; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum;
f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum
f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(0, -7) = 6561, saddle point3;
O f(9, 0) = 8962, saddle point; f(9, 7) = 0, local minimum; f(9, -7) = 0, local minimum;
f(-9, 0) = 2401, saddle point; f(-9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum
O f(0, 0) = 8962, local maximum; f(-9, -7) = 0, local minimum
f(0, 0) = 8962, local maximum; f(0, 7) = 6561, saddle point; f(9, 0) = 2401, saddle point;
f(9, 7) = 0, local minimum; f(-9, -7) = 0, local minimum
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