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Unformatted text preview: x 3 ). 5a. Find the absolute max and min of f ( x ) = x 5x 4 on [1 , 1]. 5b. Find the absolute max and min of f ( x ) = ( 94 x if x < 1x 2 + 6 x if x ≥ 1 on [0, 4]. 6. If f ( x ) = 1 √ x , ﬁnd the c in the Mean Value Theorem if a = 1 and b = 4. 7. An eﬃciency study of the morning shift at a factory indicates that the number of units produced by an average worker t hours after 8:00 AM is modeled by the formula Q ( t ) =t 3 + 9 t 2 + 12 t. At what time in the morning is the worker performing most eﬃciently? 2 8a. Sketch the graph of g ( u ) = u 4 + 6 u 324 u 2 + 26. 8b. Sketch the graph of f ( x ) = 3 x5 x2 . 8c. Find lim x →∞ ± 1 + 1 2 x ² 3 x . 8d. Find lim x → + ± 2 cos x sin 2 x1 x ² . 9. Evaluate lim x → 1cos x sec x ....
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 Spring '11
 Augustarainsford
 Calculus, Mean Value Theorem, absolute max, Prof Sims

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