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2. Using polar coordinates: (a) Show that the equation of the circle sketched is P(r, 0) r = 2a cos 0. Hint: Use the right

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2. Using polar coordinates: (a) Show that the equation of the circle sketched is P(r, 0) r = 2a cos 0. Hint: Use the right triangle OPQ. r A (b) By integration, find the area of the disk X O 2a Q r 2a cos 0. (c) Find the centroid of the area of the first quadrant half disk

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