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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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