Ma 310 Exam 2 Worksheet With Answers - University Of Kentucky
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4MA310 EXAM #2 SOLUTIONS
1. Make the following conversions. Round your answers to two decimal places.
(a) Convert 60 miles/hour to inches/second. Recall that 1 mile equals 5280 feet.
60mi
5280ft
12in
1hr
1min
1056in
×
×
×
×
=
.
1hr
1mi
1ft
60min
60sec
sec
3
3
(b) Convert 12 yard
to centimeter
. Recall that one meter is approximately 39.37
inches.
3
3
3
36in
1m
100cm
3
3
×
×
×
≈ 9174713.34cm
12yd
.
1yd
39.37in
1m
2. Find an equation for the given function:
x
y
0
3
1 −8
2 −9
3
0
4
19
Taking finite differences, we see that the second column of differences appears to be
2
constant, so we seek a quadratic formula, y = gx
+ f x + e.
x
y
x y
0
3
0 e
−11
g + f
1 −8
10
1 g + f + e
2g
−1
3g + f
2 −9
10
2 4g + 2f + e
9
3
0
10
19
4
19
Equating, we have
2g = 10, so g = 5,
g + f = −11, so 5 + f = −11, f = −16,
e = 3.
2
− 16x + 3.
So the formula is y = 5x
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