1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that ¢ F dr = length of C.

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A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

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A: We will find the concept of slope to get value of cot thetha

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