Answered: Suppose F(x, y) : (e*, ev) and C is the… | bartleby

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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Question

Suppose F(x, y) :
(e*, ev) and C is the portion of the ellipse centered at the origin
from the point (0, 1) to the point (5, 0) centered at the origin oriented clockwise.
(a) Find a vector parametric equation 7(t) for the portion of the ellipse described above for
0<t< n/2.
F(t) =
(b) Using your parametrization in part (a), set up an integral for calculating the circulation of F
around C.
F. di = | FG0) F'() dt =
| FG) - 7'() dt = /.
dt
with limits of integration a =
and b =
(c) Find the circulation of F around C.
Circulation =

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