chapters2 and3(a) - MATH 119 Sample(A Chapter 2 and 3 NAME...

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MATH 119 Sample (A) ( Chapter 2 and 3) NAME: Class ID #: 1) The population of a town in millions is given by: P = 1.5(1.05) t where t is the number of years since the start of 1995. Find: a) The average rate of growth between 1995 and 2000: b) How fast the population is growing at the start of 1995? (hint: find the instantaneous rate of change, the derivative at t = 0 for 1995) 2) Sketch the graph of the first and second derivatives of the functions given below. Be sure that your sketches are consistent with the important features of the original function. f(x) f(x) f ‘(x) f ‘(x) f "(x) f "(x)
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3) Draw a possible graph of y = f(x) given the following information about its derivative: f ‘(x) > 0 on 2 < x < 6 f ‘(x) = 0 at x = 2 and x = 6 f ‘(x) < 0 on x < 2 and x > 6 4) Let C(q) represent the total cost of producing q items. Suppose that C (10) = $15 and C ‘ (10) = 0.2. Find the total cost of producing 8 items. 5) If
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This note was uploaded on 02/29/2012 for the course MATH 119 taught by Professor Maanomran during the Fall '09 term at Indiana University-Purdue University Fort Wayne.

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chapters2 and3(a) - MATH 119 Sample(A Chapter 2 and 3 NAME...

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