21. Use Divergence Theorem to find the volume of a quadric surface z² + 3y + 4x² = 3 with the solid region bounded by the xy-plane and y=-2. Let F = xzi + 3yzj + x²k. A. 21.60 cu. units C. 43.20 cu. units B. 86.40 cu. units. D. 64.80 cu. units.

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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21. Use Divergence Theorem to find the volume of a quadric surface z2 + 3y + 4x² = 3 with the solid region bounded by the
xy-plane and y = -2. Let F = xzi + 3yzj + x²k.
A. 21.60 cu. units
C. 43.20 cu. units
B. 86.40 cu. units
D. 64.80 cu. units
Transcribed Image Text:21. Use Divergence Theorem to find the volume of a quadric surface z2 + 3y + 4x² = 3 with the solid region bounded by the xy-plane and y = -2. Let F = xzi + 3yzj + x²k. A. 21.60 cu. units C. 43.20 cu. units B. 86.40 cu. units D. 64.80 cu. units
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