16practice1 - 16B Calculus Monica Vazirani Jan 24, 2007...

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16B Calculus Monica Vazirani Jan 24, 2007 Practice Midterm 1 Name: ID: Section: 1. (9 points) Determine whether each statement is true (T) or false (F), then CIRCLE the appropriate response. You do not need to show work. Assume that x and y are positive. ( a ) ln( x + y ) = (ln x )(ln y ) T F ( b ) ln( x 3 ) = 3(ln x ) T F ( c ) e x e y = e x + y T F 2. (20 points) Carlos and Jeff are playing catch by the math building. Carlos is on the ground, and Jeff is on top of MSB, 49 feet off the ground. a. With what initial velocity must Carlos toss the ball up so that Jeff can (just barely) catch it? b. If Jeff then drops the ball off the roof, with what velocity will it hit the ground? 3. (15 points) A company produces a product for which the marginal cost of producing x units is modelled by dC dx = 1 50 x + 10 and the fixed costs are $1000. a. Find the total cost function. b. Find the average cost function. c.
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16practice1 - 16B Calculus Monica Vazirani Jan 24, 2007...

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