Microsoft Word - 2201_practice problems for final.docx

1.Use the limit definition of a derivative to find f (x) given that f (x) = 4^x2 2x + 3

Microsoft Word - 2201_practice problems for final.docx

Differentiate each function using the appropriate technique. f(x)=cot(x)-cos(e^3x)

6. The population of a city is given by P(t)=1500+2t^2where t is the number of they ears after

1992 and is the population in thousands.

A) Graph P(t). B) What is the average rate of change of population between 1995 and 2001? (Do not forget

units!)

(C) Find the instantaneous rate of change of population in the year 1998?

Microsoft Word - 2201_practice problems for final.docx

The median weight of a girl whose age t is between 0 and 36 mos. can be approximated by the function: w(t) = 0.0006t 3 0.048t 2 + 1.61t + 7.6 , where t is measured

in months and w is measured in pounds. Use this approximation to compute the acceleration in the weight of a girlat 13 months old