Question: (b) Let C, be the circle centered at the origin with radius r> 0, positively oriented. For the function, w = 1 2+ what

(b) Let C, be the circle centered at the origin with radius

(b) Let C, be the circle centered at the origin with radius r> 0, positively oriented. For the function, w = 1 2+ what is the image of C, under f(z) for all the possible values of r >0? If it is a piece- wise smooth curve, describe how the image f(2) travels on the piecewise smooth curve as the points travels on C, counterclockwise. If it is a simple closed curve, what is its orientation? Show all the details of your calculations and arguments. [10]

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