Set up, but do not evaluate, a double integral in polar coordinates that gives the volume of the solid under the cone Z =/x2+y? and above the region bounded by the semicircle X =/4-y? and the y-axis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Set up, but do not evaluate, a double integral in polar coordinates that gives the volume of the solid
under the cone Z =/x²+y² and above the region bounded by the semicircle X =/4-y2 and the y-axis.
п/2
|r2 dr de
•1/2 c4
r dr de
n/2
.2
Lr²dr de
Oc.
1/2
.2
r dr de
Od.
1/2 c2
o,
Transcribed Image Text:Set up, but do not evaluate, a double integral in polar coordinates that gives the volume of the solid under the cone Z =/x²+y² and above the region bounded by the semicircle X =/4-y2 and the y-axis. п/2 |r2 dr de •1/2 c4 r dr de n/2 .2 Lr²dr de Oc. 1/2 .2 r dr de Od. 1/2 c2 o,
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