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Use Stoke's Theorem to evaluate (V x F). dS where M is the hemisphere x² + y² + z² = 9, x ≥ 0, with the normal in the M direction of the positive x direction, and F = (x5, 0, y¹). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) Ꮎ X = , y = ,Z = SOM F. ds = √2 f(0) do, where f(0) = The value of the integral is (use "t" for theta).

Use Stoke's Theorem to evaluate (V x F). dS where M is the hemisphere x² + y² + z² = 9, x ≥ 0, with the normal in the M direction of the positive x direction, and F = (x5, 0, y¹). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) Ꮎ X = , y = ,Z = SOM F. ds = √2 f(0) do, where f(0) = The value of the integral is (use "t" for theta).

Algebra & Trigonometry with Analytic Geometry
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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Use Stoke's Theorem to evaluate (V x F). dS where M is the hemisphere x² + y² + z² = 9, x ≥ 0, with the normal in the M direction of the positive x direction, and F = (x5, 0, y¹ ). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) X = , y = Z = JOM F. ds f(0) The value of the integral is = Σπ ² f(0) do, where = (use "t" for theta).
Transcribed Image Text:Use Stoke's Theorem to evaluate (V x F). dS where M is the hemisphere x² + y² + z² = 9, x ≥ 0, with the normal in the M direction of the positive x direction, and F = (x5, 0, y¹ ). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) X = , y = Z = JOM F. ds f(0) The value of the integral is = Σπ ² f(0) do, where = (use "t" for theta).
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