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 forthe 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 forz=4x+6yx² - y² + xy.

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Answered: 3. Use the divergence theorem to…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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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.