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{a} Let D be the region in R3 that is bounded below by the surface 2:1 = x2 + y2 and bounded above by the

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{a} Let D be the region in R3 that is bounded below by the surface 2:1 = x2 + y2 and bounded above by the surface 2 = 4. {i} Make a sketch of D and shew its xyprojection on your sketch. in the following questions, express the volume of D by means of a: (ii) triple integral and sphen'cal coordinates- (iii) double integral and polar coordinates- DO NOT EVALUATE THE INTEGRAL IN EACH CASE ABOVE. {b} Let D be the region in R3 bounded below by the cone 2: 1lx2 +1;2 2 and above by the hemisphere z = 411 _ yl Sketch the region D and show its Jayprojection R on vour sketch. Express and evaluate the volume of D as a tn'ple integral, using cylindrical coordinates- (2) (2} l2) {7'} [1 3]

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