1 Let R be the region bounded by y = and y=-x - 4. X 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let R be the region bounded by y = and y = -x - 4.
X
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.
Transcribed Image Text:1 Let R be the region bounded by y = and y = -x - 4. X 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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