Larson_Calculus_10e ch12sec04
MULTIPLE CHOICE
1. Find the unit tangent vector to the curve given below at the specified point.
a.
b.
c.
d.
e.
2. Find the unit tangent vector to the curve given below at the specified point.
a.
b.
c.
d.
e.
3. Find the unit tangent vector for the line tangent to the space curve at
point .
a.
b.
c.
d.
e.
4. Find the principle unit normal vector to the curve given below at the specified point.
a.
b.
c.
d.
e.
5. Find the principle unit normal vector to the curve given below at the specified point.
a.
b.
c.
d.
e.
6. Find the principle unit normal vector to the curve given below at the specified point.
a.
b.
c.
d.
e.
7. Find at time for the plane curve . Round your answer to three decimal
places.
a.
11.077
b.
7.310
c.
11.797
d.
5.898
e.
5.538
8. Find at time for the plane curve . Round your answer to three decimal
places.
a.
6.581
b.
4.818
c.
3.407
d.
2.154
e.
4.962
9. Find at time for the plane curve . Round your answer to three decimal
places.
a.
–40.625
b.
–39.209
c.
–111.667
d.
–46.016
e.
–43.988
10. Find at time for the plane curve . Round your answer to three decimal
places.
a.
18.724
b.
23.792
c.
22.264
d.
15.179
e.
22.764
11. Find at time for the space curve . Round your answer to three
decimal places.
a.
0.062
b.
0.071
c.
0.659
d.
0.000
e.
0.753
12. Find at time for the space curve .
a.
16
b.
0
c.
5
d.
25
e.
4
13. Find at time for the space curve . Round your answer to three
decimal places.
a.
0.781
b.
0.724
c.
0.343
d.
0.686
e.
0.649
14. Find at time for the space curve . Round your answer to three
decimal places.
a.
0.970
b.
0.465
c.
0.930
d.
1.814
e.
1.060
15. Because of a storm, ground controllers instruct the pilot of a plane flying at an altitude of 1.6 miles to
make a turn and climb to an altitude of 1.8 miles. The model for the path of the plane during this
maneuver is where t is the time in hours and is the
distance in miles. Determine the speed of the plane. Round your answer to the nearest integer.
a.
50 mi/h
b.
16 mi/h
c.
54 mi/h
d.
34 mi/h
e.
79 mi/h