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Unformatted text preview: CALCULUS FOR THE SOCIAL AND MANAGEMENT SCIENCES Math 5210 Spring 2008 HOMEWORK IV DUE March 25, at the beginning of class 1. The followingis the graph of the secondderivative y" of a function y = f(x): I ~II I (o))~ I 1 ;!. /" (Y.R. J) I~) ( ~YOl. ) ') X. (a) Determine the location and type of each vertical asymptote of the graph of y. (b) The function y = f(x) has stationary points at x = 4, x = 1, x = 2, and x = 4; determine the type of each of these stationary points. (c) Determine whether the graph of y is concave up or down, or neither, at the points x=3.5,x=3,x= O,x = 0.5, and x = 5. Draw small diagrams to depict the type of each VA and Sp, and clearly denote which signchart you used in order to determine your answers 2. I havea functiony = f(x) for whosegraphthe linex+3y= 1actsas an obliqueasymptote (see diagram below); what does this allow you to say about the existence and location (if it exists) of a horizontalasymptotefor the graph of the derivative y' = f' (x)?f' (x)?...
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This homework help was uploaded on 04/19/2008 for the course MATH 52 taught by Professor Moses during the Spring '08 term at GWU.
 Spring '08
 Moses
 Calculus, Derivative

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