Stewart_Calc_7ET ch03sec04
MULTIPLE CHOICE
1. Find in terms of .
a.
b.
c.
d.
e.
2. If , find
a.
b.
c.
d.
e.
f.
3. Find the derivative of the function.
a.
b.
c.
d.
e.
4. Find the point(s) on the graph of f where the tangent line is horizontal.
a.
b.
(0, 0)
c.
(0, 0),
d.
5. Find in terms of .
a.
b.
c.
d.
e.
6. Calculate .
a.
b.
c.
d.
e.
7. Suppose that and , , , and .
Find .
a.
20
b.
c.
24
d.
140
e.
17
MULTIPLE RESPONSE
1. If , find and .
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. The displacement of a particle on a vibrating string is given by the equation
where s is measured in centimeter and t in seconds. Find the velocity of the particle after t
seconds.
2. Calculate y’.
3. Differentiate.
4. Use the table to estimate the value of , where and .
10
10.1
10.2
10.3
10.4
10.5
10.6
4.5
5.6
4.3
2.5
9.9
7.8
6.5
5.9
4.7
4.2
5.4
6.3
5. Differentiate.
6. Differentiate.
7. Find the equation of the tangent line to the given curve at the specified point.
8. Find an equation of the tangent line to the curve.