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Unformatted text preview: Home > My Assignments > Section 5.4 (Review) (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Monday, August 29, 2005 11:06 PM EDT Description The Fundamental Current Score: 17.5 out of 18.5 Theorem of Calculus Question Score pts 1 0.5/0.5 2 0.5/0.5 3 0.5/0.5 4 0.5/0.5 5 0.5/0.5 6 0.5/0.5 7 0.5/0.5 8 1/1 9 1/1 10 1/1 6.5/6.5 Viewing: Last Response View: All Responses Notes subs 2/20 2/20 2/20 2/20 2/20 2/20 2/20 1/20 1/20 1/20 1. [SCalcCC2 5.4.02.] Let g(x) be the following where f is the function whose graph is shown below it. (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = 0 [0] g(1) = .5 [0.5] g(2) = 0 [0] g(3) = -.5 [-0.5] g(4) = 0 [0] g(5) = 1.5 [1.5] g(6) = 4 [4] (b) Estimate g(7). 6 [6.2] (c) Where does g have a maximum value? x = 7 [7] Where does g have a minimum value? x = 3 [3] (d) Sketch a rough graph of g. (Do this on paper. Your teacher may ask you to turn in this work.) 2. [SCalcCC2 5.4.08.] Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. pts subs 1 0/1 1/20 0/1 Viewing: Last Response View: All Responses Notes pts subs 1 1/1 3/20 2 1/1 4/20 3 1/1 4/20 4 1/1 2/20 5 1/1 5/20 6 1/1 2/20 7 1/1 4/20 8 1/1 3/20 9 1/1 3/20 10 1/1 12/20 11 1/1 1/20 11/11 g '(x) = ln(t) [ln(x)] 3. [SCalcCC2 5.4.20.] Let g(x) be the following where f is the function whose graph is shown below it. Viewing: Last Response View: All Responses Notes (a) At what values of x do the local maximum values of g occur? x = 2 [2] (smaller x value) x = 6 [6] (larger x value) At what values of x do the local minimum values of g occur? x = 4 [4] (smaller x value) x = 8 [8] (larger x value) (b) Where does g attain its absolute maximum value? x = 2 [2] (c) On what intervals is g concave downward? (1 [1],3 [3]) (smallest x value) (5 [5],7 [7]) (9 [9],10 [10]) (largest x value) (d) Sketch the graph of g. (Do this on paper. Your teacher may ask you to turn in this work.) Home My Assignments ...
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This note was uploaded on 10/21/2009 for the course MATH MA241 taught by Professor Hubbard during the Spring '09 term at N.C. Central.

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