Use either Stokes’ theorem or the divergence theorem to evaluate each of the followingintegrals in the easiest possible way 9. [V.ndo over the entire surface of the volume in the first octant bounded by2² + y² +2²= 16 and the coordinate planes, whereV = (x + x² - y²)i + (2xyz - 2xy)j - xz²k.

Answered: 9. [Vndo over the entire surface of the…

9. [Vndo over the entire surface of the volume in the first octant bounded by 2² + y² +2²= 16 and the coordinate planes, where V = (x + x² - y²)i + (2xyz-2xy)j-zz²k.

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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Question

Use either Stokes’ theorem or the divergence theorem to evaluate each of the following
integrals in the easiest possible way

9. [V.ndo over the entire surface of the volume in the first octant bounded by
2² + y² +2²= 16 and the coordinate planes, where
V = (x + x² - y²)i + (2xyz - 2xy)j - xz²k.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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