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 C. 96 sq. units D. 32 sq. units B. 32/3 sq. units

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
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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 + y²)k.
A. 64/3 sq. units
B. 32/3 sq. units
%3D
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 + y²)k. A. 64/3 sq. units B. 32/3 sq. units %3D C. 96 sq. units D. 32 sq. units
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