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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(t))= (cost, sint) С: 0

Use the path C given by the parameterization of the unit circle below for these four problems. r (t) = (x(t),y(t))= (cost, sint) С: 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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Use the path C given by the parameterization of the unit circle below for these four problems. r (t) = (x(t),y(t))= (cost, sint) С: 0<t<2n n (t) = (y'(t),-x'(:)) For Section 6.4 you must evaluate circulation integrals using the area form of Green's Theorem, & F•dr = [[ (Q. – P.)dA and you must evaluate flux | C y integrals using the area form of Green's Theorem, f F•Nds = [[,(P, +Q,)dA х C SP 6.4 #4: Compute the flux across C C O F•N ds for the rotational vector field F = (-y,x).
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(t))= (cost, sint) С: 0<t<2n n (t) = (y'(t),-x'(:)) For Section 6.4 you must evaluate circulation integrals using the area form of Green's Theorem, & F•dr = [[ (Q. – P.)dA and you must evaluate flux | C y integrals using the area form of Green's Theorem, f F•Nds = [[,(P, +Q,)dA х C SP 6.4 #4: Compute the flux across C C O F•N ds for the rotational vector field F = (-y,x).
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