Calculate the flux of the field F across the closed plane curve C. 4) F = y³i + x³j; the curve C is the closed counterclockwise path formed from the semicircle r(t) = 3 cos ti + 3 sin tj, 0 ≤ t ≤ 7, and the straight line segment from (-3, 0) to (3, 0) A) 0 B) 277 C) 27 D) 27 5) F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9) A) 378 B) 216 C) -27 D) 297

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Calculate the flux of the field F across the closed plane curve C.
4) F = y³i+ x³j; the curve C is the closed counterclockwise path formed from the semicircle
r(t) = 3 cos ti + 3 sin tj, 0 ≤ t ≤ 7, and the straight line segment from (-3,0) to (3, 0)
27
A) 0
C) 27
D)
2
B)
27
2
5) F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices
at (0, 0), (6, 0), (6, 9), and (0, 9)
A) 378
B) 216
D) 297
C) - 27
Transcribed Image Text:Calculate the flux of the field F across the closed plane curve C. 4) F = y³i+ x³j; the curve C is the closed counterclockwise path formed from the semicircle r(t) = 3 cos ti + 3 sin tj, 0 ≤ t ≤ 7, and the straight line segment from (-3,0) to (3, 0) 27 A) 0 C) 27 D) 2 B) 27 2 5) F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9) A) 378 B) 216 D) 297 C) - 27
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