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):
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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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.
![Suppose \( f(x, y) = xe^{-8x^2 - 8y^2} \). 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):** [Text Box]
2. Find the local minima of \( f \). **List your answers as points in the form \( (a, b, c) \).**
- **Answer (separate by commas):** [Text Box]
3. Find the saddle points of \( f \). **List your answers as points in the form \( (a, b, c) \).**
- **Answer (separate by commas):** [Text Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff35f8f89-65fc-4b90-98e9-68f8eaa1b3da%2Fde93b29e-9050-437e-a715-93276eb611e0%2Fg8ryuq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose \( f(x, y) = xe^{-8x^2 - 8y^2} \). 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):** [Text Box]
2. Find the local minima of \( f \). **List your answers as points in the form \( (a, b, c) \).**
- **Answer (separate by commas):** [Text Box]
3. Find the saddle points of \( f \). **List your answers as points in the form \( (a, b, c) \).**
- **Answer (separate by commas):** [Text Box]
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