3. Consider the vector field F(x, y) + 2y F dr, where C is the circle (r-2)2 +y2 = 1, oriented counterclock (a) Com...

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Question

Answer 1

Answer #1

we have By the given question (i) 2 2 X + y is the circle given by C and 2 (i) 2 (x-2) .. 111 We need to compute in the count

- 1 tan (vii) and neglecting the arbitrary constant of integration (a) (vi) . (vii) Now in view of we can write - 1 tan where

(b) be an Let angle in Polar coordinates for the Cartesi an (x. point (xi) Then we have y r sin e x r cos (i) Now is given by

Answer 2

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