Suppose F(x, y) = 9 sin ( - ) sin ( ² )7 – 9 cos (₹) cos( 1 )³ and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C. (-3, 3). The The labeled points are P = (2, -3), Q = (3, 3), R = (-3, -3), and S = curves PR and SQ are trigonometric functions of period 27 and amplitude 1. F. dr = -3 -2 (Click on graph to enlarge)

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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Suppose
F(x, y) = 9 sin ( - ) sin ( ² )7 – 9 cos ( 1 ) cos(²)³
2
2
2
and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C.
3π
The labeled points are P = (², -3), Q = (², 3), R=(-3,-3), and S = (-3, 3). The
2
2 2
2
2
2
curves PR and SQ are trigonometric functions of period 2л and amplitude 1.
[..
C
F · dr =
5
3
2
-1-
-2
-3
-5
-4 -3 -2 -1
1 2 3 4
(Click on graph to enlarge)
5
X
Transcribed Image Text:Suppose F(x, y) = 9 sin ( - ) sin ( ² )7 – 9 cos ( 1 ) cos(²)³ 2 2 2 and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C. 3π The labeled points are P = (², -3), Q = (², 3), R=(-3,-3), and S = (-3, 3). The 2 2 2 2 2 2 curves PR and SQ are trigonometric functions of period 2л and amplitude 1. [.. C F · dr = 5 3 2 -1- -2 -3 -5 -4 -3 -2 -1 1 2 3 4 (Click on graph to enlarge) 5 X
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