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 [Graphics:quiz3gr1.gif] - [Graphics:quiz3gr2.gif] = 1. Find [Graphics:quiz3gr3.gif] in terms of f, g, and [Graphics:quiz3gr4.gif].

Answer

[Graphics:quiz3gr6.gif][Graphics:quiz3gr5.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr7.gif]

[Graphics:quiz3gr6.gif][Graphics:quiz3gr8.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr9.gif]

[Graphics:quiz3gr6.gif][Graphics:quiz3gr10.gif]
An alternative method:

[Graphics:quiz3gr6.gif][Graphics:quiz3gr11.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr12.gif]

[Graphics:quiz3gr6.gif][Graphics:quiz3gr13.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr14.gif]

[Graphics:quiz3gr6.gif][Graphics:quiz3gr15.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr16.gif]

Problem 2 (10 Points)

Find the derivative of:

f(x) = sin(3 [Graphics:quiz3gr17.gif])

Answer

[Graphics:quiz3gr6.gif][Graphics:quiz3gr18.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr19.gif]

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 + [Graphics:quiz3gr20.gif] t + [Graphics:quiz3gr21.gif]. We are given that [Graphics:quiz3gr22.gif] = - 10. (The ball is thrown DOWN!)

[Graphics:quiz3gr6.gif][Graphics:quiz3gr23.gif]
[Graphics:quiz3gr6.gif][Graphics:quiz3gr24.gif]