4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y² = 9 above the x-axis and the line segment from (3,0) to (–3,0), oriented as shown below. Let F = (-y³,x³). Calculate the line integral Sc F ·d7. 2.5 2.0 R 1.0 0.5 -0.5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y? = 9 above the
x-axis and the line segment from (3,0) to (-3,0), oriented as shown below. Let F = (-y³, x³). Calculate
the line integral S. F ·d7.
20
2.5
2.0
1.5
R
1.0
0.5
-2
2
-0.5
3.
Transcribed Image Text:4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y? = 9 above the x-axis and the line segment from (3,0) to (-3,0), oriented as shown below. Let F = (-y³, x³). Calculate the line integral S. F ·d7. 20 2.5 2.0 1.5 R 1.0 0.5 -2 2 -0.5 3.
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