Suppose F(x, y): = 8 sin (²7) sin (²/2)² - € - 8 cos (²) COS (²) and C is the curve from P to Q in the figure. Calculate the line integral of along the curve C. The labeled points are P = (-37, 37), Q = ( − ³⁄, – ³7), R = (³, ³), and S = ( ³7, — ³7). The curves PR and SQ are trigonometric functions of period 27 and amplitude 1. [ F-dr = (Click on graph to enlarge) > 3 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose
5
F(x, y) = 8 sin () sin ()7 - 8 cos (2) cos (2) ³
2
2
and C is the curve from P to Qin the figure. Calculate the
line integral of along the curve C.
The labeled points are P = (– ³7, ³7),
Q = (– ³T, − ³ ), R = (³, ³), and S = ( ³7, — ³″ ).
The curves PR and SQ are trigonometric functions of
period 2π and amplitude 1.
La
F. dr =
-5
(Click on graph to enlarge)
4
5
Transcribed Image Text:Suppose 5 F(x, y) = 8 sin () sin ()7 - 8 cos (2) cos (2) ³ 2 2 and C is the curve from P to Qin the figure. Calculate the line integral of along the curve C. The labeled points are P = (– ³7, ³7), Q = (– ³T, − ³ ), R = (³, ³), and S = ( ³7, — ³″ ). The curves PR and SQ are trigonometric functions of period 2π and amplitude 1. La F. dr = -5 (Click on graph to enlarge) 4 5
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