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(3) (8 points) (a) Write the point in Cartesian coordinates (x, y) = (-6,6V3) into a polar representation with the polar angle in the interval

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(3) (8 points) (a) Write the point in Cartesian coordinates (x, y) = (-6,6V3) into a polar representation with the polar angle in the interval (-2, 2). (b) Write the same point in Cartesian coordinates (x, y) = (-6, 6V3) into a polar representation with the polar angle in the interval (0, T). (c) Find the area of the region that lies between the curves in polar coordinates r = 2cos0, 0

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