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Unformatted text preview: f has a local minimum at x = 3, a point of inflection at x = 1 and a local maximum at x – 1. 4. Sketch a graph of a function, g , with the following properties: ) ( ′ ′ x g for x < 2, ) ( < ′ ′ x g for x > 2, and g (2) = 1. 5. Differentiate; do not simplify a. ( ) ln(2 1) f z z z = + b. 3 1 ( ) 3 3 3 t g t t t t = + + + c. t te t F 2 3 ) (= 6. 3 2 ( ) 3 9 15 ( 5 4) f x x x x x =+ ≤ ≤ is a continuous function on a closed interval. Find its global maximum and global minimum values. ( Show work, using only the values which must be considered.) 7. At a price of $8 per ticket, a community theater group can fill every seat in the theater, which has a capacity of 1500. For each additional dollar charged, the number of people buying tickets decreases by 75. What ticket price maximizes revenue?...
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 Spring '08
 KUSTIN
 Math, Calculus, Critical Point, Optimization, Mathematical analysis, Optional review session

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