Problem 5 has two parts, (5a) and (5b). 5a. The solid E lies above the cone z = V3/² +y² and below the sphere r?+y?+z2 = 16. Completely set up, but DO NOT EVALUATE, the triple integral ffSE (r+z)dV in spherical coordinates. Show appropriate work for obtaining the limits of integration and include a sketch. Your answer should be completely ready to evaluate. %3D 5b. Completely set up, but DO NOT EVALUATE, the same triple integral SSSE (T+ z)dV from part (a), but using cylindrical coordinates. Show appropriate work for obtaining the new limits of integration. Include a sketch. Your answer should be completely ready to evaluat

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Author:Erwin Kreyszig
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Problem 5 has two parts, (5a) and (5b).
5a. The solid E lies above the cone z =
Completely set up, but DO NOT EVALUATE, the triple integral SSSE (x+z)dV in spherical
coordinates. Show appropriate work for obtaining the limits of integration and include a
sketch. Your answer should be completely ready to evaluate.
V3V+ y and below the sphere r²+y² +z² = 16.
5b. Completely set up, but DO NOT EVALUATE, the same triple integral SSSE (x+ z)dV
from part (a), but using cylindrical coordinates. Show appropriate work for obtaining the
new limits of integration. Include a sketch. Your answer should be completely ready to evaluate.
Transcribed Image Text:Problem 5 has two parts, (5a) and (5b). 5a. The solid E lies above the cone z = Completely set up, but DO NOT EVALUATE, the triple integral SSSE (x+z)dV in spherical coordinates. Show appropriate work for obtaining the limits of integration and include a sketch. Your answer should be completely ready to evaluate. V3V+ y and below the sphere r²+y² +z² = 16. 5b. Completely set up, but DO NOT EVALUATE, the same triple integral SSSE (x+ z)dV from part (a), but using cylindrical coordinates. Show appropriate work for obtaining the new limits of integration. Include a sketch. Your answer should be completely ready to evaluate.
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