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q151q3wi - (i(4 points d dx ± x 4 10 5 √ x 3-sec x ²...

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Name: MATH 151 Assignment 3 Autumn 2009 Time : Due at start of class on 2/5/2010 Max : 15 Instructions : This assignment has 4 questions on 2 pages. Write your final answer to each question in the space provided under that question. Appropriate work using algebra and/or calculus must be shown . Inadequately supported answers, especially if based soley on graphing calculators, may not be given credit. Unless otherwise specified, give the exact values of all answers, using fractions, radicals, e and π as needed, and not decimal approximations . 1. Find the indicated derivative. You need not simplify your answer.
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Unformatted text preview: (i) (4 points ) d dx ± x 4 + 10 5 √ x 3-sec x ² . Answer : (ii) (3 points ) d dx ( e x cos x ). Answer : 2 (2 points ). ±ind f ± ( π/ 2) where f is the function f ( x ) = x sin x cos x . Answer : (over) Typeset using A M S-T E X. MATH 151 Assignment 3, p . 2 Autumn 2009 3 (3 points ). Find the tangent to the graph of y = 3 x 2 x 3 + 2 at (2 , 6 / 5). Answer : 4 (3 points ). Find d 4 dx 4 ± 16 √ x 5 ² . Give your answer in its simplest form. Answer : end...
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