This preview shows page 1. Sign up to view the full content.
Practice Test IV C for Math 1501, Calculus I
Problem 1:
Let Ω be the region in the
x, y
plane bounded by:
y
=
x
4
y
=4
x
2
(a) Find the area of this region.
(b) Find the centroid of this region.
(c) Find the volume of the body produced by rotating this region about the line
x
=0
.
(d) Find the volume of the body produced by rotating this region about the line
x
=3
.
Problem 2:
a) A ﬂagpole that is 10 m long, that has a uniform mass density of 1
kg/m
is initially lying down and is stood up on its end. How much work is done?
b) Now suppose that the ﬂagpole is tapered with a mass density
ρ
(
x
)=2

x
10
kg
/
m
,
where
x
is the distance from the base. How much work is done in raising the ﬂagpole this
time?
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.
 Fall '08
 N/A
 Calculus

Click to edit the document details