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Let = (4 + 4x) 7+ (4y+42 + 4 sin (y)) + (4x+4y+4) k (a) Find curl F curl F (b) What does your
Let = (4 + 4x) 7+ (4y+42 + 4 sin (y)) + (4x+4y+4) k (a) Find curl F curl F (b) What does your answer to part (a) tell you about fc F dr where C is the circle (-10)+(y-25)2-1 in the ry-plane, oriented clockwise? (e) if C is any closed curve, what can you say about fc F-dr? ScF-dr= = (d) Now let C be the half circle (-10)+(y-25)2-1 in the zy-plane with y> 25, traversed from (11,25) to (9, 25). Find fc-dr by using your result from (c) and considering C plus the line segment connecting the endpoints of C JcF-dr-
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