HW6-problems - merino(aem2588 – HW6 – chen –(55405 1...

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Unformatted text preview: merino (aem2588) – HW6 – chen – (55405) 1 This print-out should have 18 questions. Multiple-choice 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.

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HW6-problems - merino(aem2588 – HW6 – chen –(55405 1...

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