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

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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(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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