Homework # 6
Due: Never
1
New Material
1. Use the guidelines of this section to sketch the curve.
(a)
f
(
x
) = 20
x
3

3
x
4
(b)
f
(
x
) =
x
2
x
2

9
(c)
f
(
x
) = sin
x
2. If 1200 cm
2
is available to make a box with a square base and an open top, find the
largest possible volume of the box. (Hint: You’ll need to consider the area of each side.
But remember which sides you have and which you don’t.)
3. A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building.
What is the length of the shortest ladder that will reach from the ground over the
fence to the wall of the building? (Hint: You’re going to need to use similar triangles
for this).
2
Review Material
This section has problems that might be like the ones on the exam. They won’t be exactly like
this, and it’s possible that not all the material here will be covered on the exam. Basically, if
it’s on here then it’s fair game for the exam. If it’s not on here, then still learn it, but don’t
worry about it for the exam.
Keep in mind two things, however.
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 Spring '08
 varies
 Sin, lim, #, largest possible volume, ft tall runs

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