Use Stoke 's Theorem to evaluate [ . dr, where v = y²i + xyj + xzk, and c is the bounding curve of the hemisphere x + y? + z? = 9, z > 0, oriented in the positive direction. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 28E
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Use Stoke's Theorem to evaluate v. dr, where v = y²i + xyj + xzk, and c
is the bounding curve of the hemisphere x + y? + z? = 9, z > 0, oriented in the positive
direction.
Transcribed Image Text:Use Stoke's Theorem to evaluate v. dr, where v = y²i + xyj + xzk, and c is the bounding curve of the hemisphere x + y? + z? = 9, z > 0, oriented in the positive direction.
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