Use Stokes' Theorem to evaluate 0 curl F. ds. F(x, y, z) = zei + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y²+z2 = 4, y ≥ 0, oriented in the direction of the positive y-axis. Submit Answer X

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 33E
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Use Stokes' Theorem to evaluate
0
curl F. ds.
F(x, y, z) = zei + x cos(y)j + xz sin(y)k,
S is the hemisphere x2 + y²+z2 = 4, y ≥ 0, oriented in the direction of the positive y-axis.
Submit Answer
X
Transcribed Image Text:Use Stokes' Theorem to evaluate 0 curl F. ds. F(x, y, z) = zei + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y²+z2 = 4, y ≥ 0, oriented in the direction of the positive y-axis. Submit Answer X
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