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Math_137_Winter_2010_Solution_7

# Math_137_Winter_2010_Solution_7 - Math 137 Winter 2010...

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Math 137 Winter 2010 Assignment 7 Due Friday, March 12 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 4.1: 14, 34, 50, 54, 60, 70 Section 4.2: 18, 20, 28 Section 4.4: 8, 10, 20, 30, 40, 44, 50, 56, 60, 70 Section 4.1: 14. a) Sketch the graph of a function that has two local maxima, one local minimum, and no absolute minimum. A typical example: b) Sketch the graph of a function that has three local minima, two local maxima, and seven critical numbers. A typical example: 34. Find the critical numbers of g(t) = |3t – 4| g (t) = 3 if t > 4/3, – 3 if t < 4/3, so g (t) is never 0, but it DNE at t = 4/3. So 4/3 is a critical number for g(t). 50. Find the absolute extremum values of f(x) = x 3 – 6x 2 + 9x + 2 on [– 2, 3].

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