chapters2 and3(bK) - MATH 119 Sample (B) Key (Chapter 2 and...

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MATH 119 Sample (B) Key (Chapter 2 and 3) NAME: Class ID #: 1) The population of a town in millions is given by: P = 1.2(1.01) t where t is the number of years since the start of 1998 (i.e. t = 0 corresponds the year 1998). Find: a) The population in 2000 P = 1.22412 B b) The average rate of growth between 1998 and 2000: 0.01206 M/Y c) How fast the population is growing at the start of 1998? (Hint: Estimate the instantaneous rate of change of P at t = 0 using h = 0.01) 0.01194045 M/Y 2) Use the graph on the right to sketch following: a) the line segment corresponding to fb fa () ; label that line segment as line A ; b) the line whose slope is given by ba ; label that line as line B ; c) the line whose slope is given by fc '( ) ; label that line as line C ; 3) The distance s traveled by an object as a function of time t is given in the following table: t (sec) 0 1 2 3 4 5 s (feet) 0 2 5 9 15 27 a) Find the average velocity of the object between t = 1 and 4. Av = 4.3 b) Estimate the velocity of the object at t = 3. (you can use one interval only) V = 6 x y c a b c b
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4) Sketch the graph of the first and second derivatives of the functions given below.
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chapters2 and3(bK) - MATH 119 Sample (B) Key (Chapter 2 and...

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