Larson_Calculus_10e ch12sec02
MULTIPLE CHOICE
1. Find the vectors and for the following vector function.
a.
b.
c.
d.
e.
2. Find given the following vector function.
a.
b.
c.
d.
e.
3. Find given the following vector function.
a.
b.
c.
d.
e.
4. Find given the following vector function.
a.
b.
c.
d.
e.
5. Find given the following vector function:
a.
b.
c.
d.
e.
6. Find given the following vector function.
a.
b.
c.
d.
e.
7. Find given the following vector function.
a.
cost sint
b.
–34
c.
34
d.
–16 sin t cos t
e.
3
8. Find the open interval on which the curve given by the vector-valued function
is smooth.
a.
b.
c.
d.
e.
9. Use the properties of the derivative to find given the following vector-valued
functions.
a.
b.
c.
d.
e.
10. Use the properties of the derivative to find given the following vector-valued
functions.
a.
b.
c.
d.
e.
11. Use the properties of the derivative to find given the following vector-valued
functions.
a.
b.
c.
d.
e.
12. Use the properties of the derivative to find given the following vector-valued
functions.
a.
2
b.
c.
d.
5
e.
13. Use the properties of the derivative to find given the following vector-valued
functions.
a.
b.
c.
d.
e.
14. Find the indefinite integral below.
Do not include an arbitrary constant vector.
a.
b.
c.
d.
e.
15. Find the indefinite integral below.
Do not include an arbitrary constant vector.
a.
b.
c.
d.
e.
16. Evaluate the definite integral below.
a.
b.
c.
d.
e.
17. Find given the following.
a.
b.
c.
d.
e.
18. A particle moves in the yz-plane along the curve represented by the vector-valued function
. Find the minimum value of .
a.
6
b.
4
c.
7
d.
9
e.
8
19. A particle moves in the yz-plane along the curve represented by the vector-valued function
. Find the maximum value of .
a.
4
b.
3
c.
7
d.
8
e.
5