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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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This note was uploaded on 02/23/2011 for the course MATH 408C taught by Professor Knopf during the Spring '10 term at University of Texas.
 Spring '10
 KNOPF
 Asymptotes, Differential Calculus

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