Question: Question Two [3 marks] Let R be the region bounded by y = - and y = -x - 4. a) Let S be the

 Question Two [3 marks] Let R be the region bounded by
y = - and y = -x - 4. a) Let S

Question Two [3 marks] Let R be the region bounded by y = - and y = -x - 4. a) Let S be the solid obtained by rotating R about the y-axis. Write an integral giving the volume of S. b) Let T be the solid obtained by rotating R about the line y = 3. Write an integral giving the volume of T. c) Without calculating either integral, explain why T has greater volume than S

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