2.6 Homework Quiz
1. Given xy = 36 and
dx
dy
when y = 12 .
= 9 , find
dt
dt
2. A point is moving along the graph of y = sin x such that
centimeters per second. Find
dy
for x = π .
dt
dx
=2
dt
3. Let V be the volume of a sphere with radius r that is changing with
dr
dV
respect to time. If
is constant, is
constant? Explain.
dt
dt
4. A ladder 20 feet long leans against the wall of a house. The base of
the ladder is pulled away at a rate of 3 feet per second. How fast is
the top of the ladder moving down the wall when the base is 12 feet
from the wall? (Similar to Exercise #25.)
230
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