A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface integral on the upper region of the curve bounded by the xy-plane for F = xi + yj + (x + y²)k. A. 64/3 sq. units B. 32/3 sq. units C. 96 sq. units D. 32 sq. 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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A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface integral on the upper
region of the curve bounded by the xy-plane for F xi + yj + (x + y?)k.
A. 64/3 sq. units
B. 32/3 sq. units
C. 96 sq. units
D. 32 sq. units
Transcribed Image Text:A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface integral on the upper region of the curve bounded by the xy-plane for F xi + yj + (x + y?)k. A. 64/3 sq. units B. 32/3 sq. units C. 96 sq. units D. 32 sq. units
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