YBfK89-q151q7wi

YBfK89-q151q7wi - 10 in 16 in Answer(over Typeset using A M...

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Name: MATH 151 Assignment 7 Autumn 2009 Time : Due at start of class on 3/12/2010 Max : 15 Instructions : This assignment has 3 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 (6 points ). A box is to be made from a 10 in × 16 in cardboard sheet by cutting o± square pieces from each corner and turning up the ²aps at the end (see the sketch below). What should be side of the squares cut o± if the volume of the box is to be a maximum?
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Unformatted text preview: 10 in 16 in Answer : (over) Typeset using A M S-T E X. MATH 151 Assignment 7, p . 2 Autumn 2009 2 (6 points ). Sketch the graph of a function f with the following properties: f (-4) = 0; f (-2) = 2; f (2) = 4; f (4) = 2. lim x →-∞ f ( x ) = 1; lim x →∞ f ( x ) = 0. lim x → f ( x ) =-∞ . f ± (-2) = 0 = f ± (2); f is not diFerentiable at x =-4; f ± ( x ) > 0 if-4 < x <-2 or 0 < x < 2; f ± ( x ) < 0 if-∞ < x <-4,-2 < x < 0 or 2 < x < ∞ . f ± (4) = 0; f ± ( x ) > 0 if 4 < x < ∞ ; f ± ( x ) < 0 if-∞ < x <-4,-4 < x < 0 or 0 < x < 4. 3 (3 points ). ±ind ± ² x 3-2 √ x 3-cos x ³ dx . 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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YBfK89-q151q7wi - 10 in 16 in Answer(over Typeset using A M...

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