Math 166
Fall 2001
Exam 1
- (48 pt) Evaluate the
following integrals:
a)
b)
c)
d)![](./M166.1.F2001_files/image008.gif)
e)
f)![](./M166.1.F2001_files/image012.gif)
- (10 pt) Find the area
between the curves
(
) and ![](./M166.1.F2001_files/image018.gif)
- (10 pt) Find the volume
obtained when the region between the curves
and
is revolved about the line ![](./M166.1.F2001_files/image024.gif)
- (12 pt) Find the volume
obtained when the right half of the ellipse
is revolved
about the
axis. What happens to your answer if you let
What should
happen?
- (15 pt) Find the volume
obtained when the region bounded by the lines
(
), the line
and the
axis is revolved about the
axis. What
happens to your answer as
What should
happen?
y=h-(h/R)x
y=h-mx
- (15 pt)You pull up an
object attached to an 80-foot rope to the top of a 320-foot building. If
the rope weighs 0.5 pounds per foot and the amount of work done in
hoisting the object to the top of the building is 9600 foot pounds, then
how much does the object weigh?