Assignment 7

 

1.                  For each of the following rational functions, find the zeroes, poles, and asymptotes.  Then sketch each, labeling the things you found.

 

a.      

 

b.     

 

 

c.      

 

d.     

 

 

e.      

 

2.                  A cylindrical can is to hold 355 ml. (= 355 cm3).  The aluminum for the top is to be three times as thick as that for the sides and bottom.  Find and graph the function for the amount of aluminum as a function of radius.  Estimate the minimum, and compare to a soda can.

 

3.                  Assume that 0 < B, and consider the function .  What does the function look like for h between 1 and 2?  (You should get different answers for different ranges of B.)