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(a) Change the Cartesian integral into an equivalent polar integral and then evaluate the polar integral 2 V27-12 (x2 + 12)2 dy dx . 1

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(a) Change the Cartesian integral into an equivalent polar integral and then evaluate the polar integral 2 V27-12 (x2 + 12)2 dy dx . 1 (b) Find the volume bounded by the paraboloid z = 21 + y' and the cylinder = = 4 - y?. (c) A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl

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