Math 112-4 Carter Test 1 Fall 2001
General Instructions: Write your name on only the outside of your blue
book. Put your test paper inside your blue book as you leave. Solve each of
the following problems point values (out of 100 points) are indicated on the
problems.
1. Determine the equation and sketch the graph of the line (8 points each):
(a) that has slope 20 and contains the point (35,0).
(b) that has x-intercept (2400,0) and y-intercept (0,โ3000).
(c) that contains the points (25,36) and (12,29).
(d) that is perpendicular to the line y=5/9xโ32 and passes through
the point (68,20).
2. For each of the following parabolas determine the vertex, axis of sym-
metry, y-intercept, and sketch the graph. Be sure to indicate a scale on
your graph. (10 points each)
(a) y=3x2+36xโ29
(b) y= 50000xโ2x2
(c) y=2x2
โ35x+17
(d) y=x2+24x+ 144
3. ( 8 points) Sketch the graph of the circle x2
โ10x+y2
โ24y=0
4. (10 points) Solve
x3
โ441x=0
5. (10 points) 50,000 feet of fencing are to enclose a rectangular area that
is bounded on one side by a straight canal. What is the maximum area
that can be enclosed?
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