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F(x, y, z)= (x³ - z, xy, y + z²), C is the curve of intersec- tion of the paraboloid z = x² + y² and the plane z = x X4 ZA Z = X -z = x² + y²

F(x, y, z)= (x³ - z, xy, y + z²), C is the curve of intersec- tion of the paraboloid z = x² + y² and the plane z = x X4 ZA Z = X -z = x² + y²

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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7-14 Use Stokes' Theorem to evaluate SF. dr. In each case C is oriented counterclockwise as viewed from above, unless otherwise stated. 14. F(x, y, z) = (x³ - z, xy, y + z²), C is the curve of intersec- tion of the paraboloid z = x² + y² and the plane z = x (p.s. please explain how to parameterize the surface) ZA Z = X -z = x² + y² y
Transcribed Image Text:7-14 Use Stokes' Theorem to evaluate SF. dr. In each case C is oriented counterclockwise as viewed from above, unless otherwise stated. 14. F(x, y, z) = (x³ - z, xy, y + z²), C is the curve of intersec- tion of the paraboloid z = x² + y² and the plane z = x (p.s. please explain how to parameterize the surface) ZA Z = X -z = x² + y² y
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