Suppose f(x, y) = xe -8x²-8y². Answer the following. ● 1. Find the local maxima of ƒ. List your answers as points in the form (a, b, c). Answer (separate by commas): 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): 3. Find the saddle points of f. List your answers as points in the form (a, b, c). Answer (separate by commas):
Suppose f(x, y) = xe -8x²-8y². Answer the following. ● 1. Find the local maxima of ƒ. List your answers as points in the form (a, b, c). Answer (separate by commas): 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): 3. Find the saddle points of f. List your answers as points in the form (a, b, c). Answer (separate by commas):
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 34E
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I keep getting the max as (-¼, 0, -1/4sqrte), the min as (-¼, 0, -1/4sqrte), and the saddle point as (0,0,0). However this seems to be wrong. The only thing I'm confident in is that x is +/-¼ but I went with y = 0 because when I try to find fy(x,y) = 0 I keep coming up with nothing.
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