Math 160

Quiz 3                                                                                    Name:                                  Key                                                                       

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1.        Find the average rate of change of  on the interval [1, 4]

 

 

 

2.  Use the definition of the derivative (either formula from the book and that we discussed in class is ok) to find the instantaneous rate of change of  

 

 

 

 

3.  Evaluate with justification the following limits:

 

This is continuous at 1, so the easiest solution is to simply evaluate it there: