Consider SS (V x F) •ndS where 2e²³ j + ln(z + 11) xcos y k and S is the top half (z ≥ 0) of the ellipsoid 81x² +81y² + 86z² = a². By Stoke's Theorem, this is equivalent to F = 12ex²+y² i + 2π [p(a) sin € + q(a) cos 01 de Enter the functions p(a) and q(a) (in that order) into the answer box below, separated with a expressions should involve a, integers, fractions and exp() only.
Consider SS (V x F) •ndS where 2e²³ j + ln(z + 11) xcos y k and S is the top half (z ≥ 0) of the ellipsoid 81x² +81y² + 86z² = a². By Stoke's Theorem, this is equivalent to F = 12ex²+y² i + 2π [p(a) sin € + q(a) cos 01 de Enter the functions p(a) and q(a) (in that order) into the answer box below, separated with a expressions should involve a, integers, fractions and exp() only.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider
SSV
(V x F) •ndS
where
i + 2e²³ j j + ln(z + 11) xcos y k
COS
and S is the top half (z ≥ 0) of the ellipsoid 81x² +81y² + 86z² = a².
By Stoke's Theorem, this is equivalent to
F = 12e x² + y²
* [p(a) sin € + 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe60e14a8-856f-447c-ac90-795ae43e00b4%2F1b919471-be77-49f3-863b-36b56f13dbd8%2Fczvunp_processed.png&w=3840&q=75)
Transcribed Image Text:Consider
SSV
(V x F) •ndS
where
i + 2e²³ j j + ln(z + 11) xcos y k
COS
and S is the top half (z ≥ 0) of the ellipsoid 81x² +81y² + 86z² = a².
By Stoke's Theorem, this is equivalent to
F = 12e x² + y²
* [p(a) sin € + 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.
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