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Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation 7(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0

Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation 7(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0

Advanced Engineering Mathematics
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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(b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C. - [ F(F(t}) F'(t) dt =). F. dr dt with limits of integration a = and b = (c) Find the circulation of F around C. Circulation =
Transcribed Image Text:(b) Using your parametrization in part (a), set up an integral for calculating the circulation of F around C. - [ F(F(t}) F'(t) dt =). F. dr dt with limits of integration a = and b = (c) Find the circulation of F around C. Circulation =
Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation 7(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0 <t < 27. T(t) =
Transcribed Image Text:Suppose F(x, y) = (2y, – sin(y)) and C is the circle of radius 5 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation 7(t) for the circle C that starts at the point (5, 0) and travels around the circle once counterclockwise for 0 <t < 27. T(t) =
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