Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y)-x3-48xy + 64y3 local maximum value(s) DNE local minimum value(s) DNE saddle point(s) (x, y, f) = (0,0,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important
aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x, y)-x3-48xy + 64y3
local maximum value(s)
DNE
local minimum value(s)
DNE
saddle point(s)
(x, y, f) = (0,0,0)
Transcribed Image Text:Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y)-x3-48xy + 64y3 local maximum value(s) DNE local minimum value(s) DNE saddle point(s) (x, y, f) = (0,0,0)
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