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Unformatted text preview: x 3 ). 5a. Find the absolute max and min of f ( x ) = x 5-x 4 on [-1 , 1]. 5b. Find the absolute max and min of f ( x ) = ( 9-4 x if x < 1-x 2 + 6 x if x 1 on [0, 4]. 6. If f ( x ) = 1 x , nd the c in the Mean Value Theorem if a = 1 and b = 4. 7. An eciency 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 eciently? 2 8a. Sketch the graph of g ( u ) = u 4 + 6 u 3-24 u 2 + 26. 8b. Sketch the graph of f ( x ) = 3 x-5 x-2 . 8c. Find lim x 1 + 1 2 x 3 x . 8d. Find lim x + 2 cos x sin 2 x-1 x . 9. Evaluate lim x 1-cos x sec x ....
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This note was uploaded on 09/25/2011 for the course CALCULUS 135 taught by Professor Augustarainsford during the Spring '11 term at Rutgers.
- Spring '11