University of Toronto
Department of Electrical & Computer Engineering
Monday, January 28, 2002
MAT197S - QUIZ#1
Duration: 45 minutes
No aids allowed
20 marks
Last Name: _____________________________________
First Name: _____________________________________
Student No: _____________________________________
1. The region under the curve 
,
is rotated avout the y-axis. Use the shell method to find the volue
of the solid generated.
2. Evaluate the integral 
.
3. Integrate 
.
4. Let c be the number such that 
.
Find all those x (if any exist) such that 
.