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MATH 1321-004 Homework #7 due 2013-MAR-18, 11:35 a.m. 1 2 Assignments Directions Problem §11.8-21 illustrates the importance of ∇g 6= 0 as the condition of applying the method of Lagrangian multiplier. For problems of §12.2, what properties of double in§11.8: 3, 5, 7, 11, 19, 21 tegral could simplify the calculations? Extra credits: Additional 25% credits will be given §12.1: 1, 3, 5, 7, 9, 11, 13, 17 to you if you typeset your solutions in LATEX. You can §12.2: 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, also get partial extra credit for typesetting solutions of 35, 37 some problems. From those of you who uses LATEX, I will select a Extra credit winner and base the released solution on her/his LATEX source. The criteria will be – §11.8: 45, 46, (i) correctness, – §12.1: 18, (ii) number of extra credit problems finished, – §12.2: 31, 36, 40 All numbers below refer to the textbook: Calculus Concepts and Contexts, J. Stewart, 4th Ed. • • • • (iii) the logical flow. Boldfaced problems weigh 2 points each and all other problems 1 point each. A random subset of the assigned The homework winner will get another 25% extra problems with a total of 25 points will be graded. credit. 1