MAT291F
Calculus III
Quiz #1
Wednesday, October 2, 2002
Duration: 45 Minutes
Last Name: ____________________________________
First Name: ____________________________________
Student No: ____________________________________
1. Let 
for 
,
.
Does 
exist for every y?
If so, compute it. If not, explain why it doesn't.
2. The temperature at (x, y) is
given by 
.
Find the path of a heat-fleeing particle that originates at (0, 0).
3. Find the equation of the tangent plane
to the surface 
at the point (1, 0, 0).