M38ChapQuiz6
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CHAPTER 6 TAKE-HOME QUIZ Math 38 X Deadline: 29 March 2014, 11 A.M. Name: Recit Instructor: SCORE: /11 1. Set up an iterated integral in cylindrical coordinates that gives the volume of the solid bounded above by z = -y +4, bounded below by z = -2, inside x 2 +(y -2) 2 = 4, but outside x 2 +(y -1) 2 = 1. [5 pts] 2. Evaluate Z 1 0 Z √ 1-x 2 0 Z 1-x 2 -y 2 0 (1 + x 2 + y 2 ) dz dy dx using cylindrical coordinates. [6 pts] 3. BONUS: [4 pts, all or nothing] Set up an iterated triple integral in spherical coordinates to find the volume of the solid above the xy-plane, inside the sphere x 2 + y 2 + z 2 = 9 and below z = p x 2 + y 2 . (Use the back page for your solution.) ifevidente
Transcript of M38ChapQuiz6
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CHAPTER 6 TAKE-HOME QUIZ
Math 38 X Deadline: 29 March 2014, 11 A.M.
Name:Recit Instructor: SCORE: /11
1. Set up an iterated integral in cylindrical coordinates that gives the volume of the solid boundedabove by z = y+4, bounded below by z = 2, inside x2+(y2)2 = 4, but outside x2+(y1)2 = 1.[5 pts]
2. Evaluate
10
1x20
1x2y20
(1 + x2 + y2) dz dy dx using cylindrical coordinates. [6 pts]
3. BONUS: [4 pts, all or nothing]Set up an iterated triple integral in spherical coordinates to find the volume of the solid above thexy-plane, inside the sphere x2 + y2 + z2 = 9 and below z =
x2 + y2. (Use the back page for your
solution.)
ifevidente
