Problem #4: Consider (V xF).nds S where F = 4e²+² + 14e³¹ ji + In(+3) xos yk and S is the top half (0) of the ellipsoid 121x² + 121²+126² = ². By Stoke's Theorem, this is equivalent to 5₁² [p(a) sin + q(a) cos dº 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
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Problem #4:
Consider
(VxF).nds
S
where
F = 4e²+² + 14e³j+ln(+3)xos yk
and S is the top half (20) of the ellipsoid
121x² + 121²+126² = ².
By Stoke's Theorem, this is equivalent to
5₁² [p(a) sin 0+q(a) cos dº
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 S where F = 4e²+² + 14e³j+ln(+3)xos yk and S is the top half (20) of the ellipsoid 121x² + 121²+126² = ². By Stoke's Theorem, this is equivalent to 5₁² [p(a) sin 0+q(a) cos dº 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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