Stewart_Calc_7ET ch10sec04
MULTIPLE CHOICE
1. Find the point(s) of intersection of the curves and .
a.
b.
c.
d.
e.
2. Find the length of the polar curve.
a.
b.
c.
d.
e.
None of these
3. Find the surface area generated by rotating the lemniscate about the line .
a.
b.
c.
d.
e.
4. Find the area of the region enclosed by one loop of the curve.
a.
b.
c.
d.
e.
5. Find the area of the region that lies inside the first curve and outside the second curve.
a.
b.
c.
d.
e.
6. Graph of the following curve is given. Find its length.
a.
L = 25
b.
L = 24
c.
L = 26
d.
L = 32
e.
L = 20
7. The graph of the following curve is given. Find the area that it encloses.
1 2 3 4 5 6 r
a.
b.
c.
d.
e.
A =
MULTIPLE RESPONSE
1. Use a graph to estimate the values of for which the curves and
intersect. Round your answer to two decimal places.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find the area of the region that is bounded by the given curve and lies in the specified sector.
4 8 12 16 20 24
2. Find the area of the region that lies inside both curves.
3. Using the arc length formula, set up, but do not evaluate, an integral equal to the total arc length of the
ellipse.
4. Find the area enclosed by the curve .
5. Find the area that the curve encloses.
6. Find the area enclosed by the curve .
2 4 6 8 10 12 14