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MIT OpenCourseWare http://ocw.mit.edu 18.02 Multivariable Calculus Fall 2007 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 5 Due Thursday 10/11/07, 12:45 pm. Part A (8 points) Hand in the underlined problems only; the others are for more practice. ds ˆ u Lecture 13. Thu Oct. 4 Gradient, directional derivative, tangent plane. Read: 13.8. Work: 2D/ 1abe, 2b, 3ac, 8, 9; 2E/ 7. Lecture 14. Fri Oct. 5 Lagrange multipliers. Read: 13.9 through the top of p. 922 – one constraint only. Work: 2I/ 1, 3. Part B (19 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 the names of all the people you consulted or with whom you collaborated and the resources you used. Problem
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This note was uploaded on 05/04/2011 for the course MATH 18.02 taught by Professor Auroux during the Spring '08 term at MIT.

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ps5 - MIT OpenCourseWare http:/ocw.mit.edu 18.02...

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