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MTH132-Quiz5

# MTH132-Quiz5 - bottom and a 2-in margin at each side See...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: MTH132 Section 5 & 18, Quiz 5 1 [3 pts each] . Find the limits. (a) 4 / cos sin lim 4 / π π - - x x x x (b) ) 1 1 ( lim 0 x x x - + (c) ) ( lim 2 x x x x + - 2. Suppose 4 3 4 ) ( x x x f - = . (a) [2 pts] . Find ) ( ' x f and ) ( ' ' x f .

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Page 2 10/18/2011 (b) [4 pts] . Find all critical points and inflection points. Use first derivative test to find local extreme values. (c) [bonus 2 pts] . Graph this function (plot all key points). 3. You are designing a rectangular poster to contain 50 square in. of printing with a 4-in. margin at the top and
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Unformatted text preview: bottom and a 2-in. margin at each side. See the picture below (x, y are the dimensions of the inside rectangle). (a) [2 pts]. What are the given information and target function? (b) [1 pts]. Use the given information to eliminate a variable to obtain a new target function and its domain. (c) [2 pt]. Minimize the new target function by using first derivative test. What overall dimensions will minimize the amount of paper used?...
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