Consider (V x F)-ndS where F = 14e²²+y²i + 10e ²³ j + ln(z+ 13).xºs y k and S is the top half (2 ≥ 0) of the ellipsoid 81x² + 81y² +82-² = ². By Stoke's Theorem, this is equivalent to [p(a) sino + q(a) cos ] de Enter the functions p(a) and q(a) (in that order) into the answer box below, separated with a comma. Your expressions should involve a, integers, fractions and exp() only.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
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Problem #4: Consider
VXF) nds
where
F = 14e²+y² + 10e³j+ln(z +13) xcos y k
and S is the top half (z z 0) of the ellipsoid 81x² + 81y² +82-² = ad².
By Stoke's Theorem, this is equivalent to
f
[p(a) sin 0+q(a) cos 0] de
Enter the functions p(a) and q(a) (in that order) into the answer box below, separated with a comma. Your
expressions should involve a, integers, fractions and exp() only.
Transcribed Image Text:Problem #4: Consider VXF) nds where F = 14e²+y² + 10e³j+ln(z +13) xcos y k and S is the top half (z z 0) of the ellipsoid 81x² + 81y² +82-² = ad². By Stoke's Theorem, this is equivalent to f [p(a) sin 0+q(a) cos 0] de Enter the functions p(a) and q(a) (in that order) into the answer box below, separated with a comma. Your expressions should involve a, integers, fractions and exp() only.
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