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Unformatted text preview: myers (nmm698) – Review 2 – Hamrick – (54868) 1 This printout should have 19 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine if the limit lim x →−∞ 1 + x + 2 x 3 1 − 3 x 3 exists, and if it does, find its value. 1. limit = − 1 2. limit = − 2 3 3. limit = 2 3 4. limit does not exist 5. limit = 1 002 10.0 points Determine if lim x →∞ parenleftBig radicalbig 9 x 2 + 2 − 3 x parenrightBig exists, and if it does, find its value. 1. limit doesn’t exist 2. limit = 0 3. limit = √ 6 4. limit = √ 5 5. limit = 3 003 10.0 points Find the interval(s) on which f ( x ) = (5 − x 2 ) 3 is increasing. 1. [ − √ 5 , ∞ ) 2. ( −∞ , − √ 5 ] , [ 0 , ∞ ) 3. [ 0 , ∞ ) 4. ( −∞ , 0 ] , [ √ 5 , ∞ ) 5. ( −∞ , √ 5 ] 6. ( −∞ , 0 ] 7. [ − √ 5 , √ 5 ] 8. ( −∞ , − √ 5 ] , [ √ 5 , ∞ ) 004 10.0 points If f is increasing and its graph is concave down on (0 , 1), which of the following could be the graph of the derivative , f ′ , of f ? 1. 1 f ′ ( x ) 2. 1 f ′ ( x ) myers (nmm698) – Review 2 – Hamrick – (54868) 2 3. f ′ ( x ) 1 4. f ′ ( x ) 1 005 10.0 points Let f be the function defined by f ( x ) = 3 + 2 x 1 / 3 ....
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 Fall '08
 schultz
 Derivative, Convex function, Concave function, Hamrick

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