Let Ca be the circle of radius a, centered at the origin,oriented in the

Chapter 18, Problem 59

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Let Ca be the circle of radius a, centered at the origin,oriented in the counterclockwise direction, and letF = (y +23y3)i + (2x x33 + xy2)j .(a) EvaluateCa F dr . For what positive value of adoes the integral take its maximum value?(b) Use Greens Theorem to convert the integral to adouble integral. Without evaluating the double integral,give a geometric explanation of the value of ayou found in part (a).

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