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Unformatted text preview: 10 in 16 in Answer : (over) Typeset using A M ST 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 if4 < 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 32 √ x 3cos 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.
 Winter '08
 Any
 Math, Calculus

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