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Unformatted text preview: merino (aem2588) HW6 chen (55405) 1 This printout should have 18 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points The following graphs have similar horizon tal asymptotes, as indicated by the dashed lines, and each graph passes through the ori gin. Decide which one of them is the graph of f ( x ) = 2 x x 2 + 1 . 1. 2. 3. 4. 5. 6. 002 (part 1 of 3) 10.0 points Let f be the function defined by f ( x ) = x radicalbig 1 x 2 + 4 on [ 1 , 1]. (i) Find the derivative of f . 1. f ( x ) = 1 x 2 2 x 2 2. f ( x ) = 2 x radicalbig 1 x 2 3. f ( x ) = 2 x 1 x 2 4. f ( x ) = radicalbig 1 x 2 5. f ( x ) = 1 2 x 2 1 x 2 6. f ( x ) = 2 x 2 1 x 2 003 (part 2 of 3) 10.0 points (ii) Find all the critical points of f in ( 1 , 1). 1. x = 1 2 2. x = 1 4 merino (aem2588) HW6 chen (55405) 2 3. x = 1 2 4. x = 1 4 5. x = 1 2 6. x = 1 2 004 (part 3 of 3) 10.0 points (iii) Determine the absolute maximum value of f on [ 1 , 1]. 1. abs. max. value = 4 2. abs. max. value = 11 2 3. abs. max. value = 5 4. abs. max. value = 9 2 5. abs. max. value = 7 2 6. abs. max. value = 3 005 10.0 points Determine which one of the following could be the graph of f ( x ) = x 2 + 2 4...
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 Spring '10
 KNOPF
 Asymptotes, Differential Calculus

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