## Question

###### 5a. The solid E lies above the cone z =V3V2 + y and below the sphere...

5a. The solid E lies above the cone z =V3V2 + y and below the sphere cº + y2 + 2 = 9. Completely set up, but DO NOT EVALUATE, the triple integral Ssse (y+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. (9 points) 5b. Completely set up, but DO NOT EVALUATE, the same triple integral ple (y + x)2V 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. (7 points)

## Answers

solve a x 242 The solid Elies above the cone z=33 and below the sphere x 2 + 7 = 9 = SS6 (Y+z) dr We know that spherical Coordinates- x= scoso sind Y=8&ind sind z=scoso dedydas & sind de do del dimit of OSET, OLO LT , 05323 - ſ i į Seimo.com 048 6050) Seno dçdo due do 0=o eo 210 TY 3 we know that Oglindrical Coordinats x=rcoso, yar smo , z=z , doc dy dz=&d zdodao 217 8=3 s-gr = l S (472) razdode 0=0 g = 353 2=0 21 3 - 2 (rcoso+z) & dz do de

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