Stewart_Calc_7ET ch14sec05
MULTIPLE CHOICE
1. Use the Chain Rule to find .
a.
b.
c.
d.
e.
2. Use the Chain Rule to find .
a.
b.
c.
d.
e.
3. Use the Chain Rule to find
a.
b.
c.
d.
4. Use the Chain Rule to find and if and
a.
b.
c.
d.
5. The radius of a right circular cone is increasing at a rate of 5 in/s while its height is
decreasing at a rate of 3.6 in/s. At what rate is the volume of the cone changing when the
radius is in. and the height is in.?
a.
b.
c.
d.
e.
6. Use the equation to find .
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. The length l, width w and height h of a box change with time. At a certain instant the
dimensions are and , and l and w are increasing at a rate of 10 m/s while h is
decreasing at a rate of 1 m/s. At that instant find the rates at which the surface area is
changing.
2. Use implicit differentiation to find .
3. Use the Chain Rule to find where .
4. Find the limit if .
SHORT ANSWER
1. Use partial derivatives to find the implicit partial derivatives and