This preview shows pages 1–2. Sign up to view the full content.
Practice Problems Set 1
This are introductory problems. These problems, for the most part, should be a review of
skills learned in high school algebra.
1.
Calculation Review.
a.
Solve for
x
if
x
3

x
5
= 4
b.
Let
s
=
at
a
+
t
. Solve for
t
in terms of
a
and
s
.
c.
Evaluate 4
x
0
+
x
2
3
+
x

2
3
when
x
= 27.
d.
Suppose that
y
= 3
x
. Express 3
x

2
in terms of
y
.
2.
Word Problems and Functions.
a.
The area of a rectangle is 204 square feet. The perimeter of the rectangle is 58 feet.
Find the dimensions of the rectangle.
b.
A ladder 10 feet tall is standing vertically against the side of a barn so that it is
perpendicular to the ground. Elmo moves the foot of the ladder along the ground so that
the foot of the ladder is 6 feet away from the barn. How many feet did the top of the
ladder slide down the barn.
c.
A rectangular box has no top, and a volume of 2
.
4 cubic meters. The length
l
is three
times the width. Let
w
be the width of the rectangular base and let
h
be the beight of the
box.
i. Make a sketch of the box, with the dimensions labeled.
ii. Give a formula for
h
as a function of
w
. What is the domain of
h
?
iii. Can you give a formula for
w
as a function of
h
? Why or why not?
iv. Give a formula for the surface area
S
of the box as a function of
w
.
d.
An open box is to be made by cutting squares of length
x
from the four corners of a
sheet of cardboard which is 24 inches wide and 32 inches long and then turning up the
sides. Give an expression for the volume
V
of the box as a function of
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 09/25/2011 for the course CALCULUS 135 taught by Professor Augustarainsford during the Spring '11 term at Rutgers.
 Spring '11
 Augustarainsford
 Calculus

Click to edit the document details