Question 3 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 + y3 - 192x - 75y + 2 O f(8, 5) = -1272, local minimum; f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point; f(-8, -5) = 1276, local maximum O f(-8, -5) = 1276, local maximum; f(8, 5) = -1272, local minimum O f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point O f(-8, -5) = 1276, local maximum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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Question 3
Find all the local maxima, local minima, and saddle points of the function.
f(x, y)
= x + y3 - 192x - 75y + 2
f(8, 5) = -1272, local minimum; f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point; f(-8, -5) 1276, local maximum
%3D
f(-8, -5) = 1276, local maximum; f(8, 5) = -1272, local minimum
f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point
f(-8, -5) = 1276, local maximum
Transcribed Image Text:Question 3 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x + y3 - 192x - 75y + 2 f(8, 5) = -1272, local minimum; f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point; f(-8, -5) 1276, local maximum %3D f(-8, -5) = 1276, local maximum; f(8, 5) = -1272, local minimum f(8, -5) = -772, saddle point; f(-8, 5) = 776, saddle point f(-8, -5) = 1276, local maximum
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