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4. Verify Stoke's Theorem for F=-yi+j+:k where S is the part of the paraboloid == 9-²-y. lying above the rp-plane and having the normal pointing upward.

4. Verify Stoke's Theorem for F=-yi+j+:k where S is the part of the paraboloid == 9-²-y. lying above the rp-plane and having the normal pointing upward.

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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Verify Stoke's Theorem for F=-yi+j+ k where S is the part of lying above the ry-plane and having the normal pointing the paraboloid=9-²-². upward. (Hint: You need to compute the surface integral, as well as the line integral, and show that they give the same result.)
Transcribed Image Text:Verify Stoke's Theorem for F=-yi+j+ k where S is the part of lying above the ry-plane and having the normal pointing the paraboloid=9-²-². upward. (Hint: You need to compute the surface integral, as well as the line integral, and show that they give the same result.)
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