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# ps7 - 18.02 Problem Set 7 Due Thursday 12:45 pm in 2-106...

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18.02 Problem Set 7 Due Thursday 10/23/08, 12:45 pm in 2-106. Part A (18 points) Hand in the underlined problems only; the others are for more practice. Lecture 19. Thu Oct. 16 Double integrals in polar coordinates. Read: 14.4 (concentrating on the examples), Notes I.2; 14.5 centroid, pp. 968–970; moment of inertia pp. 973–975. Work: 3B/ 1a cd, 2bd , 3ac ; 3C/ 1 , 2a , 4 ; 14.4/ 4, 17, 25; 14.5/ 11. Lecture 20. Fri Oct. 17 Change of variables. Read: Notes CV; 14.9 Examples 1–4. Work: 3D/ 1 , 2 , 3, 4 (in 3D/4, integrate in the order du dv ). Lecture 21. Tue Oct. 21 Vector ±elds and line integrals in the plane. Read: Notes V1; 15.2 pp. 1023–1028 Work: 4A/ 1bd , 2abc , 3ab cd, 4 ; 4B/ 1ab cd, 2ab . Part B (25 points) Directions: Attempt to solve each part of each problem yourself. If you collaborate, solutions must be written up independently. It is illegal to consult materials from previous semesters. With each problem is the day it can be done. Write

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ps7 - 18.02 Problem Set 7 Due Thursday 12:45 pm in 2-106...

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