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MAT1322-3XSolution to Midterm 1 (A)Summer 2015Solution to Midterm Examination 1 (version A)MAT 1322-3X, Summer 2015Total = 20 marks1.(4 marks)LetRbe the region above the graph ofy=x2and under the graph ofy= 3xis the solid obtained by revolvingRabout they-axis.Find the volume of this solid.– 2.S2)3y.is
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12.(4 marks)A bucket with weight 20 kg is lifted from the ground to the top of a building 10meters high with a rope that weighs 0.5 kg / m at a constant speed.Because the bucket is leaking,when the bucket is at a heighthmeters from the ground, the weight of the bucket is(20 – 0.5h)kg.