Larson_Calculus_10e ch10sec05
MULTIPLE CHOICE
1. Write an integral that represents the area of the shaded region for as shown in the figure.
Do not evaluate the integral.
a.
b.
c.
d.
e.
2. Find the area of the interior of .
a.
b.
c.
d.
e.
3. Find the area of one petal of .
a.
b.
c.
d.
e.
4. Find the area of the interior of .
a.
b.
c.
d.
e.
5. Find the area of the inner loop of .
a.
b.
c.
d.
e.
6. Find the area of the region lying between the loops of .
a.
b.
c.
d.
e.
7. Find all points of intersection of the graphs of the equations.
a.
b.
c.
d.
e.
8. Find the points of intersection of the graphs of the equations.
a.
b.
c.
d.
e.
9. Find the area of the common interior of the polar equations by
sketching the graph of the equations using the graphing utility.
a.
b.
c.
d.
e.
10. Find the area of inside and outside by sketching the graph of the equations using
the graphing utility.
a.
b.
c.
d.
e.
11. Find the length of the curve over the interval .
a.
b.
c.
d.
e.
12. Find the length of the curve over the given interval.
a.
b.
c.
d.
e.
13. Find the length of the curve over the given interval.
a.
b.
c.
d.
e.
14. Find the length of the curve over the given interval.
a.
b.
c.
d.
e.
15. Find the length of the curve over the interval . Round your answer to two
decimal places.
a.
0.58
b.
3.46
c.
2.00
d.
1.15
e.
1.73
16. Find the area of the surface formed by revolving about the polar axis the following curve over the
given interval.
a.
b.
c.
d.
e.
17. Find the area of the surface formed by revolving about the axis the following curve over the
given interval.
a.
b.
c.
d.
e.