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Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): (170) 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): -1,0) 3. Find the saddle points of f. List your answers as points in the form (a, b, c). Answer (separate by commas); (1,0,0).(-1,0,0)

Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): (170) 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): -1,0) 3. Find the saddle points of f. List your answers as points in the form (a, b, c). Answer (separate by commas); (1,0,0).(-1,0,0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose f(x, y) = xe -8x²-8y² -8y². Answer the following. 1. Find the local maxima of f. List your answers as points in the form (a, b, c). Answer (separate by commas):(,0 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): (-1,0) 3. Find the saddle points of f. List your answers as points in the form (a, b, c). commas) (1,0,0).(-1,0,0) Answer (separate by commas);
Transcribed Image Text:Suppose f(x, y) = xe -8x²-8y² -8y². Answer the following. 1. Find the local maxima of f. List your answers as points in the form (a, b, c). Answer (separate by commas):(,0 2. Find the local minima of f. List your answers as points in the form (a, b, c). Answer (separate by commas): (-1,0) 3. Find the saddle points of f. List your answers as points in the form (a, b, c). commas) (1,0,0).(-1,0,0) Answer (separate by commas);
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