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MIT OpenCourseWare http://ocw.mit.edu 18.02 Multivariable Calculus Fall 200 7 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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18.02 Problem Set 10 Due Thursday 11/15/07, 12:45 pm. Part A (10 points) Hand in the underlined problems only; the others are for more practice. Lecture 27. Thu Nov. 8 Exam 3 covering lectures 18–26. Lecture 28. Fri Nov. 9 Triple integrals in rectangular and cylindrical coordinates. Read: 12.8 to p. 841; Notes I.3; 14.6 (esp. Examples 1, 2, 3); 14.7 pp. 988–989. Work: 12.8/ 5, 23; 14.6/ 41; 14.7/ 9, 19; 5A/ 1, 2abcd, 3, 4, 5, 6, 7. Lecture 29. Tue Nov. 13 Spherical coordinates. Gravitational attraction. Read: Notes I.4, CV.4, G; 14.7 pp. 990–992. Work: 12.8/ 9, 11, 15, 27, 55; 5B/ 1abc, 2, 3, 4abc; 5C/ 2, 3, 4. Part B (16 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.
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