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) Use Stoke's theorem to evaluate f f.dr in the counterclockwise direction when viewed from the above: f = 2yi + 3xj – 2²k, C : x² + y² = 9 in the xy-plane.

) Use Stoke's theorem to evaluate f f.dr in the counterclockwise direction when viewed from the above: f = 2yi + 3xj – 2²k, C : x² + y² = 9 in the xy-plane.

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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(E) Use Divergence theorem to find the outward flux of f across the boundary of D. f = (5x³ + 12xy² )i + (y³ + e® sin 2)j + (52³ + e' cos z)k D : the solid region between the spheres x2 + y² + z2 = 1 and x² + y? + z² = 2.
Transcribed Image Text:(E) Use Divergence theorem to find the outward flux of f across the boundary of D. f = (5x³ + 12xy² )i + (y³ + e® sin 2)j + (52³ + e' cos z)k D : the solid region between the spheres x2 + y² + z2 = 1 and x² + y? + z² = 2.
) Use Stoke's theorem to evaluate f. f.dr in the counterclockwise direction when viewed from the above: f = 2yi + 3.xj – 2?k, C : x² + y? = 9 in the ry-plane.
Transcribed Image Text:) Use Stoke's theorem to evaluate f. f.dr in the counterclockwise direction when viewed from the above: f = 2yi + 3.xj – 2?k, C : x² + y? = 9 in the ry-plane.
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