q151q4wi - v (0) = 4 and v (0) =-3. The function w is...

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Name: MATH 151 Assignment 4 Autumn 2009 Time : Due at start of class on 2/10/2010 Max : 15 Instructions : This assignment has 5 questions on 2 pages. Write your Fnal 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 speciFed, give the exact values of all answers, using fractions, radicals, e and π as needed, and not decimal approximations . 1 (3 points ). Let u and v be di±erentiable functions of x such that u (0) = 9, u ± (0) = 2,
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Unformatted text preview: v (0) = 4 and v (0) =-3. The function w is deFned by w = u 5 /v 3 . ind w (0). Answer : 2 (2 points ). ind d dt 1 + cos 2 t . Answer : (over) Typeset using A M S-T E X. MATH 151 Assignment 4, p . 2 Autumn 2009 3 (4 points ). Find f (-1) where f is the function dened by f ( u ) = (1-u ) 8 (1 + u 2 ) 4 (1 + u 4 ) 2 . Answer : 4 (3 points ). Find the equation of the tangent to the curve x 3 + y 3 = 3 xy at the point (2 / 3 , 4 / 3). Answer : 5 (3 points ). Find g ( x ) where g ( x ) = sec 3 (2 x ). Answer : end...
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This note was uploaded on 03/13/2010 for the course MATH 151 taught by Professor Any during the Winter '08 term at Ohio State.

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q151q4wi - v (0) = 4 and v (0) =-3. The function w is...

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