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5.5 part 2

# 5.5 part 2 - 5 Multiple Integrals 16(2,0,1 17 Integrate...

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Unformatted text preview: 5. Multiple Integrals 16. (2,0,1) 17. Integrate zei" 538 25253. 2£21F259£ 2+”! over the cylinder 3:2 + y2 5 4, 18. Integrate 11:2 + y2 + 22 over the cylinder given by 2:2 + z In Exercises 19—22, convert from Cartesian to spherical coordinates 19. (0,1,1) 20. (1,0,1) 21. (—2,1.—3) 22. (1,2,3) In Exercises 23426, convert from spherical to Cartesian coordinates. 25. Bar/Sgt] 24. (2,—rr/6m/3) 25. (3,2rr,0) 26. (1,1t/6,1r/3) 2?. Evaluate [fjw dzdydz 1/1+I2+y2 +2;2 where W is the ball 51:2 +3; 2__+z2 < 1. 28. Evaluate Ira/(522 +y2 + Z2?” dmdydz; W is the 1311111112 +y2 + 22 29. Evaluate [I] dxdydz [\$2 + ya + 32pm! res-“132 +y2 +z2 —- is the solid bounded by the sphe 2:21:12 wherea>b>0. 50. Integrate «11:2 + y2 + 22 6—” +9 +2 ) over the region in Exercise 29 = 1 m Find the volume of the region inside the sphere \$2 + y2 + 2:2 1 outside the cylinder 3:2 + y = _ the cones z = J53? + y:- ...
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