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FINAL EXAM SAMPLE PROBLEMS
MATH 148 AUTUMN 2007
Part I
1.
a) Find the midpoint of the line segment connecting the two points, (–52, 17) and (–10, 10).
b) Find the distance from midpoint found in part a) to point (–52, 17).
Round to 2 decimal places.
2. Solve the following systems of equations:
QuickTime and a
TIFF (LZW) decompressor
are needed to see this picture.
3. Gary leaves New York at 3 p.m. in his old car and averages 45 mph. Jeff Gordon, the famous
NASCAR driver, leaves New York at 10 p.m. in his race car along the same route and averages 180 mph.
Let t represent the number of hours after 3 p.m.
Write the distances traveled by Gary and Jeff.
How
many hours will Gary travel before Jeff passes him?
Round your answer to 2 decimal places.
4. Draw a complete graph of the equation
y
= 8
x
3
– 147
x
2
– 444
x
+ 895.
Be sure to find and label the
roots.
Round your answer to 2 decimal places.
5. Give window for complete graph of
y
= 0.05
x
3
+ 15
x
+ 16.
Find zeros and round to 2 decimal places.
6. A box with a square base and no top is to be made from a 4foot by 4foot sheet of aluminum by
cutting out squares from each corner and folding up the sides.
If the box is to have maximal volume, what
size squares need to be removed?
Round your answer to 3 decimal places.
7. Suppose you want to use 50 sq. feet of material to make an opentop box with a square base.
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 Fall '08
 Mcginnis
 Math

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