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Unformatted text preview: 18.02 Problem Set 5 Due Thursday 10/9/08, 12:45 pm in 2-106. Part A (12 points) Hand in the underlined problems only; the others are for more practice. Lecture 13. Thu Oct. 2 Gradient, directional derivative, tangent plane. Read: 13.8. Work: 2D/ 1a be, 2b , 3a c, 8 , 9 ; 2E/ 7. Lecture 14. Fri Oct. 3 Lagrange multipliers. Read: 13.9 through the top of p. 922 one constraint only. Work: 2I/ 1a b, 3 . Lecture 15. Tue Oct. 7 Non-independent variables. Read: Notes N (pp. 05). Work: 2J/ 1 , 2 , 3a b, 4ab , 5a , 6, 7. Part B (23 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 1. (Thursday, 7 points: 2+1+1+3) As in PS3, Problem 3, consider the function f ( x, y ) = x ( x 1)( x...
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- Fall '08