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3. Use the divergence theorem to evaluate √ √ Ẻ · ÑdS for F(x, y, z) = z²î + 2x²ĵ + 2xyk for the closed surface bounded by x² + y² = 1, z = 2 and the coordinate planes. 4. Use the second partials test to find any characterize any critical points for z=4x+6yx² - y² + xy.

3. Use the divergence theorem to evaluate √ √ Ẻ · ÑdS for F(x, y, z) = z²î + 2x²ĵ + 2xyk for the closed surface bounded by x² + y² = 1, z = 2 and the coordinate planes. 4. Use the second partials test to find any characterize any critical points for z=4x+6yx² - y² + xy.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
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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I need help with this problem and an explanation for the solution described below. (Calculus 3)

3. Use the divergence theorem to evaluate √ √ Ẻ · ÑdS for F(x, y, z) = z²î + 2x²ĵ + 2xyk for the closed surface bounded by x² + y² = 1, z = 2 and the coordinate planes. 4. Use the second partials test to find any characterize any critical points for z=4x+6yx² - y² + xy.
Transcribed Image Text:3. Use the divergence theorem to evaluate √ √ Ẻ · ÑdS for F(x, y, z) = z²î + 2x²ĵ + 2xyk for the closed surface bounded by x² + y² = 1, z = 2 and the coordinate planes. 4. Use the second partials test to find any characterize any critical points for z=4x+6yx² - y² + xy.
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