Math 1411: Test 1

 

A correct answer without supporting work or explanation will not be awarded credit.

 

1.         Estimate the limit by substituting smaller and smaller values of h.  Give answer to three decimal places.

            a.        

            b.        

 

 

2.         Use the following figure to give approximate values for the following limits (if they exist).

            a.                

            b.        

            c.        

            d.        

 

 

3.         If  and , evaluate the following limits if they exit.  If they do not exist, explain why.

            a.        

            b.        

            c.        

            d.        

 

 

4.         You have $500 invested in a bank account earning 8.2% compounded annually.

            a.         Write an equation for the money M in your account after t years.

            b.         How long will it take to triple your money?       

c.         Suppose the interest were compounded monthly instead, that is you earned  interest each month.  What interest would you then earn for 1 year?

 

 

5.         Find a possible formula for each of the following functions.  Check that your formula fits the data points.

 

 



Solutions

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Author: Dr. Nancy Marcus