3. Let f(r, y)- e (a) Verify that (0, 0) is a critical point. (b) Is this critical point a local maximum, a local minimum or a saddle point? Justify your answer.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Let \( f(x, y) = e^{-x^2 + 2y^2} \).

(a) Verify that \( (0, 0) \) is a critical point.

(b) Is this critical point a local maximum, a local minimum or a saddle point? Justify your answer.
Transcribed Image Text:3. Let \( f(x, y) = e^{-x^2 + 2y^2} \). (a) Verify that \( (0, 0) \) is a critical point. (b) Is this critical point a local maximum, a local minimum or a saddle point? Justify your answer.
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