Find the critical points of h(x, y) = 3x² - 6xy + y² + y². Classify the critical points using the Hessian. Find the critical points of f(x, y) = 7 - 3x = y + 2xy + lnx. Classify the critical points using the Hessian.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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A4.
Find the critical points of h(x, y)
=
Hessian.
Find the critical points of f(x, y)
using the Hessian.
3x² - 6xy + y² + y². Classify the critical points using the
= 7 - 3x = y + 2xy + ln x. Classify the critical points
Transcribed Image Text:A4. Find the critical points of h(x, y) = Hessian. Find the critical points of f(x, y) using the Hessian. 3x² - 6xy + y² + y². Classify the critical points using the = 7 - 3x = y + 2xy + ln x. Classify the critical points
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