Use the path C given by the parameterization of the unit circle below for these four problems. r (t) = (x(t), y(?)) =(cost, sin t) n (t) = (v'(?),–x'(t)) 0

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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Use the path C given by the parameterization of the unit circle below for these
four problems.
r (t) = (x(t), y(?)) =(cost, sin t)
n (t) = (v'(?),–x'(t))
0<t< 2n
For Section 6.3 you must evaluate circulation integrals using
E F•dr = [" F (r (t))•r (t)dt and you must evaluate flux integrals using
C
a
E F•N ds = ["
F (r (t))-n (t) đt
C
SP 6.3 #1: Compute the circulation along C, C F •dr , for the radial vector
field F = (x, y).
Transcribed Image Text:Use the path C given by the parameterization of the unit circle below for these four problems. r (t) = (x(t), y(?)) =(cost, sin t) n (t) = (v'(?),–x'(t)) 0<t< 2n For Section 6.3 you must evaluate circulation integrals using E F•dr = [" F (r (t))•r (t)dt and you must evaluate flux integrals using C a E F•N ds = [" F (r (t))-n (t) đt C SP 6.3 #1: Compute the circulation along C, C F •dr , for the radial vector field F = (x, y).
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