Suppose F(x, y) = 8 sin LE () sin() 7-8 cos (1) COS and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C. F · dr = (²) J The labeled points are P = (-³7, 37), Q = (-37, 37), R = ( ³7, ³7), · – 2 2 and S = (37,-37). The curves PR and SQ are trigonometric functions of period 2π and amplitude 1. (Click on graph to enlarge)
Suppose F(x, y) = 8 sin LE () sin() 7-8 cos (1) COS and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C. F · dr = (²) J The labeled points are P = (-³7, 37), Q = (-37, 37), R = ( ³7, ³7), · – 2 2 and S = (37,-37). The curves PR and SQ are trigonometric functions of period 2π and amplitude 1. (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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Question
Suppose F (?,?)=<8sin(?/2)sin(?/2) −8cos(?/2)cos(?/2)> and ? is the curve from ? to ? in the figure. Calculate the line integral of ? along the curve C. The labeled points are ?=(−3?/2,3?/2), ?=(−3?/2,−3?/2), ?=(3?/2,3?/2), and ?=(3?/2,−3?/2). The curves ?? and ?? are trigonometric functions of period 2? and amplitude 1.
Transcribed Image Text:Suppose
F(x,y) = 8 sin() sin()7-8cos (3) cos()
COS
(²) ³
and C is the curve from P to Q in the figure. Calculate the line integral of
F along the curve C.
The labeled points are P = (-37, 37), Q = (-37, -3), R = (3, 3),
2
2
2
2
and S = (37,37). The curves PR and SQ are trigonometric functions of
2
2
period 27 and amplitude 1.
[=
F. dr =
(Click on graph
to enlarge)
Transcribed Image Text:5
3
2
1
-3
-5
-5 -4 -3
2
3 4
5
X
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