Problem Set 2 Calc IV (Math2443-003) Due 6/8/2001






Each problem is worth 3 points. For full credit indicate clearly how you reached your answer.
 

1. a) Find the value of e to thirty decimal places (count carefully!).

b) Graph sin2x, cos2x, and sin 2x on the same set of axes. One of these functions is the derivative of one of the others -- which are they?

c) Find 
 

2. Describe (as if you were trying to convey it to someone over a telephone) the graph of.
 

3. At first glance the graphs of  and  look very similiar. Explain how they're really alike or different.
 

4. Find the exact values of the coordinates of the highest and lowest place(s) on the graph of.
 

5. Graph the formula you found in problem 5 of Problem Set 1. Describe (in English) the behavior of the graph for values of r which are large and values of r which are near zero. Explain how this makes sense for the physical situation being modeled.