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18. continued
(b)
x
5
0, 1, 4
19.
A graph of the derivative data is shown.
[0, 10] by[
2
10, 80]
(a)
The derivative represents the speed of the skier.
(b)
Since the distances are given in feet and the times are
given in seconds, the units are feet per second.
(c)
The graph appears to be approximately linear and
passes through (0, 0) and (9.5, 63.2), so the slope is
}
6
9
3
.
.
5
2
2
2
0
0
}
<
6.65. The equation of the derivative is
approximately
D
5
6.65
t
.
20. (a)
[
2
0.5, 4] by [700, 1700]
(b)
A graph of the derivative data is shown.
[0, 3.24] by [
2
800, 100]
(c)
Since the elevation
y
is given in feet and the distance
x
down river is given in miles, the units of the gradiant
are feet per mile.
(d)
Since the elevation
y
is given in feet and the distance
x
downriver is given in miles, the units of the distance
}
d
d
y
x
}
are feet per mile.
(e)
Look for the steepest part of the curve. This is where
the elevation is dropping most rapidly, and therefore the
most likely location for significant “rapids.”
(f)
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN
 Slope

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