# Math 1501

## September 16, 1999

Tom Morley

Name: ____________________________

*Don't Panic*

*Open Book and Notes. You hav⌊e one half hour. Carefully explain your proceedures and answers*

### Problem 1 (10 Points)

. Suppose that - = 1. Find in terms of f, g, and .

##### Answer

##### An alternative method:

### Problem 2 (10 Points)

Find the derivative of:

f(x) = sin(3 )

##### Answer

### Problem 3 (10 Points)

Suppose that a ball is thrown down with a initial velocity of 10 ft/sec. Twelve seconds later it hits the ground. From what height was the ball thrown. Negect air resistance.

##### Answer

The equation is -16 t^2 + t + . We are given that = - 10. (The ball is thrown DOWN!)