Exam Three
MATH 200
Spring, 2010
1 of 6
Name _______________________________
Section _____
Show all your work on the exam paper, legibly and in detail, to receive full credit.
The use of a calculator or any other electronic device is prohibited. You may only
use techniques discussed to date in class.
You must simplify all answers
unless you
are explicitly instructed not to.
Consider the function
2
ln 1
z
x
y
.
a.
(8 points) Suppose that
x
x t
and
y
y t
are differentiable functions.
Use an
appropriate form of the chain rule to find
dz
dt
.
b.
(7 points) If
2
x
t
and
y
t
, use your answer in part (a) to find
dz
dt
at
1
t
.
Pts
P1-15 pts
P2-20 pts
P3-20 pts
P4-15 pts
P5-15 pts
P6-15 pts
Total
Score

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*