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Take Home Problems for Calculus I Exam V

12.  Find the average value of the function given below over the interval [1,3].

Give the exact answer and also a decimal approximation accurate to two

places to the right of the decimal.

 

         

 

13.  In your own words state the geometric interpretation of the calculus

definition of the natural log function (ln).

 

14.  On a particular day when the temperature varies greatly, the temperature in degrees Fahrenheit is given by

where t is time in hours, with t = 0 representing midnight.  The hourly cost of cooling a house is $0.15 per degree.  Find the cost for the whole 24 hour day, starting at midnight, of cooling the house if the thermostat is set at 72oF.  See problem 119 on page 307 in your textbook.

 T                                                                                        

t

         

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        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 10/08/08          Copyright 2002          webstats