Mathematics, 16.04.2020 21:06 dejaproctor17

. (16.4) (a) Calculate H C F · dr where F(x, y) = h 2xy (x 2 + y 2) 2 , y 2 − x 2 (x 2 + y 2) 2 i for (x, y) 6= (0, 0) and C is any positively oriented simple closed smooth curve that encloses the origin. [Hint: F is not defined at the origin.] (b) Calculate H C F · dr where F = hx 2 + y, 3x − y 2 i and C is the positively oriented smooth boundary curve of a region D that has area 17.

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. (16.4) (a) Calculate H C F · dr where F(x, y) = h 2xy (x 2 + y 2) 2 , y 2 − x 2 (x 2 + y 2) 2 i fo...