8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field F = (x²+z)i + (y² + 2x)j + (z²-y)k and the curve C which is the intersection of the sphere x² + y² +2²=1 with the cone z = √² + y² in the counterclockwise direction as viewed from above.

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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8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector
field
F = (x²+z)i + (y² + 2x)j + (z² −y)k
and the curve C which is the intersection of the sphere x² + y² +2²=1 with the
cone z = √² + y² in the counterclockwise direction as viewed from above.
-
Transcribed Image Text:8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field F = (x²+z)i + (y² + 2x)j + (z² −y)k and the curve C which is the intersection of the sphere x² + y² +2²=1 with the cone z = √² + y² in the counterclockwise direction as viewed from above. -
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