Larson_Calculus_10e ch02sec04
MULTIPLE CHOICE
1. Find the derivative of the algebraic function .
a.
b.
c.
d.
e.
2. Find the derivative of the function.
a.
b.
c.
d.
e.
3. Find the derivative of the function.
a.
b.
c.
d.
e.
4. Find the derivative of the function.
a.
b.
c.
d.
e.
5. Find the derivative of the function.
a.
b.
c.
d.
e.
6. Find the derivative of the function.
a.
b.
c.
d.
e.
7. Find the derivative of the function .
a.
b.
c.
d.
e.
8. Find the derivative of the function .
a.
b.
c.
d.
e.
9. Find the derivative of the function.
a.
b.
c.
d.
e.
10. Find the derivative of the function.
a.
b.
c.
d.
e.
11. Find the derivative of the function.
a.
b.
c.
d.
e.
12. Find the derivative of the function.
a.
b.
c.
d.
e.
13. Evaluate the derivative of the function at the point .
a.
b.
c.
d.
e.
14. Evaluate the derivative of the function at the given point.
,
a.
b.
c.
d.
e.
15. Evaluate the derivative of the function at the point .
a.
b.
c.
d.
e.
16. Evaluate the derivative of the function at the point .
a.
b.
c.
d.
e.
17. Find an equation to the tangent line for the graph of f at the given point.
,
a.
b.
c.
d.
e.
18. Find an equation to the tangent line to the graph of the function at the point
. The coefficients below are given to two decimal places.
a.
b.
c.
d.
e.
19. Find the second derivative of the function.
a.
b.
c.
d.
e.
20. Find the second derivative of the function .
a.
b.
c.
d.
e.
21. The displacement from equilibrium of an object in harmonic motion on the end of a spring is
where y is measured in feet and t is the time in seconds. Determine the
position of the object when . Round your answer to two decimal places.
a.
0.12 feet
b.
0.21 feet
c.
17.53 feet
d.
0.46 feet
e.
0.11 feet
22. The displacement from equilibrium of an object in harmonic motion on the end of a spring is
where y is measured in feet and t is the time in seconds. Determine the
velocity of the object when . Round your answer to two decimal places.
a.
8.00 ft/sec
b.
4.68 ft/sec
c.
6.00 ft/sec
d.
1.00 ft/sec
e.
5.00 ft/sec
a.
23. Suppose a 15-centimeter pendulum moves according to the equation where is
2.5034 radians per second
b.
3.6185 radians per second
c.
0.3129 radians per second
d.
3.1535 radians per second
e.
4.1724 radians per second
24. A buoy oscillates in simple harmonic motion as waves move past it. The buoy
moves a total of 3.5 feet (vertically) between its low point and its high point. It returns to its
high point every 14 seconds. Write an equation describing the motion of the buoy if it is at its
high point at t = 0.
a.
b.
c.
d.
e.
25. A buoy oscillates in simple harmonic motion as waves move past it. The buoy
moves a total of 13.5 feet (vertically) between its low point and its high point. It returns to its
high point every 10 seconds. Determine the velocity of the buoy as a function of t.
a.
b.
c.
d.
e.