Math_137_Winter_2010_Solution_8

# Math_137_Winter_2010_Solution_8 - Math 137 Winter 2010...

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Math 137 Winter 2010 Assignment 8 Due Friday, March 19 All solutions must be clearly stated and fully justified. Use the format given on UW-Ace under Content, in the folder Assignments; it is the file Math 137 Assignment Templates . Text problems: Section 4.3: 14, 26, 42, 50, 66 a, b Section 4.5: 12, 14, 24, 28, 44, 52 Section 4.7: 18, 24, 28, 34, 42, 46, 68 Section 4.8: 8, 18, 30, 42 Nontext: 1, 2 Section 4.3: 14. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. 26. Sketch the graph of a function such that f (1) = f (–1) = 0, f (x) < 0 if |x| < 1, f (x) > 0 if 1 < |x| < 2, f (x) = –1 if |x| > 2, f (x) < 0 if – < x < 0, and f has an inflection point at (0,1)

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42. f(x) = ln(x 4 + 27) a) Find the intervals of increase or decrease. b) Find the local maximum and minimum values c) Find the intervals of concavity and the inflection points d) Sketch the graph. 50. x x e e x f + = 1 ) (
a) Find the vertical and horizontal asymptotes. b) Find the intervals of increase or decrease. c) Find the local maximum and minimum values d) Find the intervals of concavity and the inflection points e) Sketch the graph. 66. ) 2 /( 2 2 ) ( σ x e x f = a) Find the asymptotes, maximum value and inflection points of f.

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What role does σ play in the shape of the curve? Section 4.5:
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## This note was uploaded on 04/13/2010 for the course MATH 137 taught by Professor Speziale during the Spring '08 term at Waterloo.

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Math_137_Winter_2010_Solution_8 - Math 137 Winter 2010...

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