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(1 point) Suppose F06, y) = (2y, sin(y)) and C is the circle of radius 8 centered at the origin oriented counterclockwise. (a) Find a
(1 point) Suppose F06, y) = (2y, sin(y)) and C is the circle of radius 8 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation F0?) for the circle C that starts at the point (8, 0) and travels around the circle once counterclockwise for 0 S t 5 Zn. ?(t) = (b) Using your parametrization in part (a), set up an integral for calculating the circulation of 13" around C. b b / 1? -d?= / 13(?(t)).?'(t)dt=/ dt C u a with limits of integration a = 0 and b = O (c) Find the circulation of 13" around C. Circulation = 12pi
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