Calculate the circulation of the field F around the closed curve C. 5 1) F= 2x²y + xy²j; curve C is r(t) = 6 cos ti + 6 sin tj, 0 st ≤ 27 30 A) 7 B) 0 80 A)-3 B). 60 C) 7 2) F = y³i + x²j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (2, 0), and (0,4) 112 3 D) 80 3 10 D) 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please solve both parts
Calculate the circulation of the field F around the closed curve C.
5
1) F=-
=√x²y + xy²j; curve C is r(t) = 6 cos ti + 6 sin tj, 0 ≤ t ≤ 2π
60
30
A) 7
A) -
B) 0
3
2) F = y³i + x²j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (2, 0),
and (0,4)
80
B).
112
10
80
3
D)=
D) 0
Transcribed Image Text:Calculate the circulation of the field F around the closed curve C. 5 1) F=- =√x²y + xy²j; curve C is r(t) = 6 cos ti + 6 sin tj, 0 ≤ t ≤ 2π 60 30 A) 7 A) - B) 0 3 2) F = y³i + x²j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (2, 0), and (0,4) 80 B). 112 10 80 3 D)= D) 0
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