eff(V x F) · ds where M is the hemisphere a² + y² + z² = 4, x ≥ 0, with the normal in . M Use Stokes' Theorem to evaluate the direction of the positive x direction, and F = = (x6, 0, y²). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) x = = 0, y = 0, z = 0· Sam F. ds = 5² f(0) d0, where f(0) (use "t" for theta). The value of the integral is 0
eff(V x F) · ds where M is the hemisphere a² + y² + z² = 4, x ≥ 0, with the normal in . M Use Stokes' Theorem to evaluate the direction of the positive x direction, and F = = (x6, 0, y²). Begin by writing down the "standard" parametrization of OM as a function of the angle (denoted by "t" in your answer) x = = 0, y = 0, z = 0· Sam F. ds = 5² f(0) d0, where f(0) (use "t" for theta). The value of the integral is 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use Stokes' Theorem to evaluate (V x F) · ds where M is the hemisphere x² + y² + 2² = 4, z ≥ 0, with the normal in
M
the direction of the positive x direction, and F = (x6, 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
2 =
2π
Sam F. ds = 52² f(0) d0, where
ƒ(0)
(use "t" for theta).
The value of the integral is
=
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