This preview shows pages 1–2. Sign up to view the full content.
MA 121
TEST
2
Please show all of your work in answering the following:
1.
Let
fx
x
x
x
()
=
−−−
296
06
32
a)
Find the intervals on which
f
is increasing or decreasing.
b)
Identify all relative extrema.
c)
Find the intervals on which
f
is concave up or concave down.
d)
Sketch the curve.
2.
Find the absolute maximum and the absolute minimum of
x
x
=+
2
4
on the interval [ 1, 1 ].
3.
Sketch the graph of
x
x
=
+
2
1
, identifying relative extrema, inflection points,
asymptotes, etc.
4.
Find
′
y
when
a)
yx
e
x
=
−
1
2
b)
ye
xx
=
−
+
3
52
2
c)
x
25
1
d)
=
53
ln
e)
y
x
x
=
+
+
ln
2
1
2
f)
y
x
=
8
3
g)
x
=
4
4
h)
y
x
=
−
−
ln(
)
3
21
4
3
OVER
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document5.
The half life of lead is 22 years.
a)
Find its decay rate.
b)
If you initially have 15 grams of lead, how long until only 10 grams remain?
6.
An open box is to be constructed from a piece of cardboard
that is 18 in. by 18 in. by
cutting a square out of each corner and folding up the sides.
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 LADA

Click to edit the document details