University of Toronto
Department of Electrical & Computer Engineering

October 5, 2001

MAT196F - QUIZ#1

Duration: 45 minutes
No aids allowed
20 marks

Last Name: ____________________________________

First Name: ____________________________________

Student No: ____________________________________

1. Find and and their domains if and .

2. Decide whether the function , on the interval [0,1) achieves its maximum and/or minimum values on the stated interval. For those that do, specify points at which the maximum and/or minimum is achieved.

3. Find two consecutive integers n and (n + 1) so that has a zero between n and (n + 1).

4. Use the procedure to prove that exists.