15_6_16 - x = 1,-1 ≤ y ≤ 1. Thus it is-4 Z 1-1 ±-i + y...

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16. F = - x i + y j x 2 + y 2 . a) The flux of F inward across the circle of Exercise 7(a) is - I ± - x i + y j a 2 ² x i + y j a ds = I a 2 a 3 ds = 1 a × 2 π a = 2 π. b) The flux of F inward across the boundary of the square of Exercise 7(b) is four times the flux inward across the edge
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Unformatted text preview: x = 1,-1 ≤ y ≤ 1. Thus it is-4 Z 1-1 ±-i + y j 1 + y 2 ² • i dy = 4 Z 1-1 dy 1 + y 2 = 4 tan-1 y ³ ³ ³ 1-1 = 2 π....
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