FIs () Use spherical coordinates to evaluate 1- av where the solid E lies above the cone z=V+y*, inside the sphere x+y² +z = 1, and in the first octant. (ii) Use spherical coordinates to specify the solid E that lies inside the sphere r+y+ 1, and below the plane z= -1/2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q6
s (i) Use spherical coordinates to evaluate
xzdV
where the solid E lies above the cone z= V+y², inside the sphere x +y² +z? = 1, and in the first octant.
(ii) Use spherical coordinates to specify the solid E that lies inside the sphere x+y² +? = 1, and below
the plane z = -1/2.
Transcribed Image Text:s (i) Use spherical coordinates to evaluate xzdV where the solid E lies above the cone z= V+y², inside the sphere x +y² +z? = 1, and in the first octant. (ii) Use spherical coordinates to specify the solid E that lies inside the sphere x+y² +? = 1, and below the plane z = -1/2.
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