6. Let C be the circle of radius 2 centered at the origin in the yz-plane, oriented clockwise as shown in the figure below (0,0) C (a) Parametrize C. In other words, find a function 7 (t) that gives a parameterization of the oriented C. (b) Use the parameterization 7(t) found in part (a) to evaluate the integral c.d7 where F = e³7+ln(x² +1) 7 + 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Let C be the circle of radius 2 centered at the origin in the yz-plane, oriented clockwise as shown in the
figure below
2
(0,0)
2
с
Y
(a) Parametrize C. In other words, find a function 7(t) that gives a parameterization of the oriented
C.
=
(b) Use the parameterization 7(t) found in part (a) to evaluate the integral · d7 where F =
e³+ln(x² +1) 7 + 7
Transcribed Image Text:6. Let C be the circle of radius 2 centered at the origin in the yz-plane, oriented clockwise as shown in the figure below 2 (0,0) 2 с Y (a) Parametrize C. In other words, find a function 7(t) that gives a parameterization of the oriented C. = (b) Use the parameterization 7(t) found in part (a) to evaluate the integral · d7 where F = e³+ln(x² +1) 7 + 7
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