Problem #4: Consider SS (V x F) ndS S where F = 14ex²+y² i + 1le=³j + ln(z+2)x-cosy k and S is the top half (z ≥ 0) of the ellipsoid 169x² + 169y² + 171z² = a². By Stoke's Theorem, this is equivalent to •2π [p(a) sin 8+ 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.
Problem #4: Consider SS (V x F) ndS S where F = 14ex²+y² i + 1le=³j + ln(z+2)x-cosy k and S is the top half (z ≥ 0) of the ellipsoid 169x² + 169y² + 171z² = a². By Stoke's Theorem, this is equivalent to •2π [p(a) sin 8+ 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
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![Problem #4: Consider
SS (V x F) ndS
S
where
F = 14ex²+y² i + 1le=³j + ln(z+2)x-cosy k
and S is the top half (z ≥ 0) of the ellipsoid 169x² + 169y² + 171z² = a².
By Stoke's Theorem, this is equivalent to
•2π
[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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe591e3e-c1e9-4180-ad99-642a1f427277%2F6b58fa0e-09e6-4fe9-b88b-12eff7efcc18%2F6gmu1bq_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #4: Consider
SS (V x F) ndS
S
where
F = 14ex²+y² i + 1le=³j + ln(z+2)x-cosy k
and S is the top half (z ≥ 0) of the ellipsoid 169x² + 169y² + 171z² = a².
By Stoke's Theorem, this is equivalent to
•2π
[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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