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(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = x2yi + x³j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y2 - x2 and the cylinder x² + y2 = 1 oriented counterclockwise as viewed from above. F. dr =

(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = x2yi + x³j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y2 - x2 and the cylinder x² + y2 = 1 oriented counterclockwise as viewed from above. F. dr =

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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(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = x²yi + ÷x³j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y² – x² and the cylinder x2 + y? = 1 oriented counterclockwise as viewed from above. F• dr =
Transcribed Image Text:(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = x²yi + ÷x³j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y² – x² and the cylinder x2 + y? = 1 oriented counterclockwise as viewed from above. F• dr =
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