Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Berlet Se be the surface of Be, with the outward orientation, and letF = (2x + y², y + 2z, xz²). Verify that, in this particular case,7. [1₁²Selime-+0+ VeF.dS = V.F(0),by calculating the left side from the definition of the surface integral and the right sidefrom the definition of the divergence.

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Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber let Se be the surface of Be, with the outward orientation, and let F = (2x + y², y + 2z, xz²). Verify that, in this particular case, 7. 11.₁² Se lim e-+0+ Ve F.dS = V.F(0), by calculating the left side from the definition of the surface integral and the right side from the definition of the divergence.

Let Be be the box [-e, 2e] × [-2e, 4e] × [-e, 2e], e > 0, let Ve be the volume of Ber let Se be the surface of Be, with the outward orientation, and let F = (2x + y², y + 2z, xz²). Verify that, in this particular case, 7. 11.₁² Se lim e-+0+ Ve F.dS = V.F(0), by calculating the left side from the definition of the surface integral and the right side from the definition of the divergence.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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