Larson_Calculus_10e ch05sec06
MULTIPLE CHOICE
1. Evaluate the expression without using a calculator.
a.
0
b.
c.
d.
e.
2. Evaluate the expression without using a calculator.
a.
b.
c.
d.
e.
3. Evaluate the expression without using a calculator.
a.
b.
c.
3
d.
5
e.
4
4. Write the following expression in algebraic form.
a.
b.
c.
d.
e.
5. Write the following expression in algebraic form.
a.
b.
c.
d.
e.
6. Solve the following equation for .
a.
b.
c.
d.
e.
7. Solve the following equation for .
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. Find an equation of the tangent line to the graph of at the point .
a.
b.
c.
d.
e.
14. Find the slope-intercept form of the equation of the line tangent to the graph of
.
a.
b.
c.
d.
e.
15. An airplane flies at an altitude of 14 miles toward a point directly over an observer. Consider and x
as shown in the following figure. Write as a function of x.
a.
b.
c.
d.
e.
16. An airplane flies at an altitude of 6 miles towards a point directly over an observer. Consider and x
as shown in the following figure. The speed of the plane is 400 miles per hour. Find when .
Round your answer to three decimal places.
a.
–17.647 rad/hr
b.
2.941 rad/hr
c.
17.647 rad/hr
d.
0.044 rad/hr
e.
–8.824 rad/hr
17. In a free-fall experiment, an object is dropped from a height of 256 feet. A camera on the ground 500
feet from the point of impact records the fall of the object as shown in the figure. Assuming the object
is released at time t = 0. At what time will the object reach the ground level?
a.
3 seconds
b.
6 seconds
c.
7 seconds
d.
5 seconds
e.
4 seconds
18. In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500
feet from the point of impact records the fall of the object as shown in the figure. Assuming the object
is released at time t = 0. Find the rate of change of the angle of elevation of the camera when .
Round your answer to four decimal places.
a.
–0.6006 rad/sec
b.
–0.0581 rad/sec
c.
0.0601 rad/sec
d.
0.0581 rad/sec
e.
–0.0601 rad/sec
19. An 85-foot billboard is perpendicular to a straight road and is 50 feet from the road as shown in the
figure. Find the point on the road such that the angle subtended by the billboard is a maximum.
How far is this point from the point on the road directly across from the billboard (in feet)? Round
your answer to two decimal places.
a.
50.00 ft
b.
29.41 ft
c.
41.08 ft
d.
82.16 ft
e.
85.00 ft