Let C be the boundary of the square with vertices (0, 0), (2, 1), (1, –2), and (3, –1), oriented clockwise. Let F(r, y) = (xy – sin z, y² + cos y) . Use Green's Theorem to find F. dr. You may want to apply a change of variables to evaluate the resulting double integral. Select one: 55 а. 4 1 b. 5 15 C. 2 d. 12 3 е. 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let C be the boundary of the square with vertices (0, 0), (2, 1), (1, –2), and (3, –1), oriented clockwise. Let
F(x, y) = (xy – sin a, y² + cos y) . Use Green's Theorem to find
F. dr. You may want to apply a change of
variables to evaluate the resulting double integral.
Select one:
55
а.
4
1
b.
15
C.
2
5
d.
12
3
e.
4
Transcribed Image Text:Let C be the boundary of the square with vertices (0, 0), (2, 1), (1, –2), and (3, –1), oriented clockwise. Let F(x, y) = (xy – sin a, y² + cos y) . Use Green's Theorem to find F. dr. You may want to apply a change of variables to evaluate the resulting double integral. Select one: 55 а. 4 1 b. 15 C. 2 5 d. 12 3 e. 4
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