Use Stoke's Theorem to evaluate (V x F). ds where M is the hemisphere x² + y²+z² = 16, a > 0, with the normal in the direction of the positive x direction, and F = (x7, 0, y²). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) x = y 2π SOM F. ds = f² 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 = 16, a > 0, with the normal in the direction of the positive x direction, and F = (x7, 0, y²). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) x = y 2π SOM F. ds = f² f(0) do, where f(0) = The value of the integral is (use "t" for theta).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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![Use Stoke's Theorem to evaluate (V x F). ds where M is the hemisphere
x² + y²+z² = 16, a > 0, with the normal in the direction of the positive x direction, and
F = (x7, 0, y²).
Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by
"t" in your answer)
x =
y
2π
SOM F. ds = f² f(0) do, where
f(0)
=
The value of the integral is
(use "t" for theta).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a624af2-90fc-496a-a1a5-b544d25626be%2F6bf96922-14be-4325-b07c-c892e45a4db1%2F335c0p_processed.png&w=3840&q=75)
Transcribed Image Text:Use Stoke's Theorem to evaluate (V x F). ds where M is the hemisphere
x² + y²+z² = 16, a > 0, with the normal in the direction of the positive x direction, and
F = (x7, 0, y²).
Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by
"t" in your answer)
x =
y
2π
SOM F. ds = f² f(0) do, where
f(0)
=
The value of the integral is
(use "t" for theta).
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