Larson_Calculus_10e ch15sec02
MULTIPLE CHOICE
1. Find a piecewise smooth parametrization of the path C given in the following graph.
a.
b.
c.
d.
e.
2. Find a piecewise smooth parametrization of the path C given in the following graph.
a.
b.
c.
d.
e.
3. Evaluate the line integral along the given path.
a.
b.
c.
d.
e.
4. Evaluate along the path C, defined as counterclockwise along the circle
from to .
a.
b.
c.
d.
e.
5. Evaluate along the path C, defined as y-axis from .
a.
b.
c.
d.
e.
6. Find the total mass of the wire with density .
a.
b.
c.
d.
e.
7. Evaluate where C is represented by .
a.
b.
c.
d.
e.
8. Evaluate where C is represented by .
a.
b.
c.
d.
e.
9. Find the work done by the force field on a particle moving along the given path.
from to .
a.
b.
c.
d.
e.
10. Evaluate where and .
a.
b.
c.
d.
e.
11. Evaluate the integral along the path C, defined as y-axis from
.
a.
b.
c.
d.
e.
12. Evaluate the integral along the path C, defined as from
a.
b.
c.
d.
e.
13. Find the area of the lateral surface over the curve C in the xy-plane and under the surface
where Lateral surface .
line from .
a.
b.
c.
d.
e.
14. A tractor engine has a steel component with a circular base modeled by the vector-valued function
. Its height is given by . (All measurements of the component are
given in centimeters.) Find the lateral surface area of the component. Round your answer to two
decimal places.
a.
b.
c.
d.
e.
15. Find the moments of inertia for a wire that lies along with density
.
a.
b.
c.
d.
e.
16. Find the work done by a person weighing pounds walking exactly one revolution up a circular
helical staircase of radius feet if the person rises feet.
a.
b.
c.
d.
e.