HW11 - Calculus 1A Homework Assignments Notes and Hints...

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Calculus 1A: Homework Assignments. Notes and Hints. Revised 1/19/09 Spring 2009, TT 3:30pm - 5:00pm, Room 105 Stanley Hall Instructor: Professor Zvezdelina Stankova HW11. Read § 4.7 (finish “Application to Business and Economics”), § 4.8, and § 4.9. Solve and Write Problems: (1) § 4.7: #52,54,56,58,62. (2) § 4.8: #2,4,6,8,12,16,20,34,36,38. #36: find f 0 ( x ) and set it to equal 0 in order to find the critical points of f ( x ) . Use Newton’s method to estimate the root r of f 0 ( x ) . Check what is going on with f 00 ( x ) to show that f ( r ) is indeed a local (and global) maximum (as opposed to minimum). Then plug in your estimate for r in f ( x ) to find this global maximum. (3) § 4.9: #4,6,10,12,16,18,20*,22,26,32,34,40,44,46,48,50,62,66,74,76. (a) #6-12: rewrite the powers of x in the usual form x n to make it easy for integration: this applies both to ”roots” and to fractions. In #12 and #20: do not use any ”quotient rule” for integration - there is no such rule! Instead, split the fraction into a sum of several fractions and integrate each
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