Verify that Strokes' Theorem is true for the given vector field F and surface S. F(x, y, z) = yi + zj + xk, S is the hemisphere x2 + y2 + z2 = 1, y ≥ 0, oriented in the direction of the positive y-axis.
Verify that Strokes' Theorem is true for the given vector field F and surface S. F(x, y, z) = yi + zj + xk, S is the hemisphere x2 + y2 + z2 = 1, y ≥ 0, oriented in the direction of the positive y-axis.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Verify that Strokes' Theorem is true for the given
F(x, y, z) = yi + zj + xk,
S is the hemisphere
x2 + y2 + z2 = 1, y ≥ 0,
oriented in the direction of the positive y-axis.Expert Solution
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