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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
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.
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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