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(b)
Year of
Q
Slope of
PQ
1995
}
2
2
0
0
0
.
0
1
2
2
1
2
9
.7
95
}5
3.48
1996
}
2
2
0
0
0
.
0
1
2
2
1
4
9
.8
96
}5
3.825
1997
}
2
2
0
0
0
.
0
1
2
2
1
7
9
.8
97
}5
4.1
1998
}
2
2
0
0
0
.1
0
2
2
1
1
1
9
.
9
2
8
}5
4.45
1999
}
2
2
0
0
0
.1
0
2
2
1
1
5
9
.
9
2
9
}5
4.9
(
c)
Approximately 5 billion dollars per year.
(
d)
y
5
0.3214
x
2
2
1.3471
x
1
1.3857
lim
h
→
0
}
y
(10
1
h
h
)
2
y
(10)
} 5
lim
h
→
0
5
lim
h
→
0
5
0.3214(20)
2
1.3471
<
5.081
The predicted rate of change in 2000 is about
5.081 billion dollars per year.
Chapter 3
Derivatives
■
Section 3.1
Derivative of a Function (pp. 95–104)
Exploration 1
Reading the Graphs
1.
The graph in Figure 3.3b represents the rate of change of the depth of the water in the puddle with respect to time. Since
y
is
measured in inches and
x
is measured in days, the derivative
}
d
d
y
x
}
would be measured in inches per day. Those are the units that
should be used along the
y
axis in Figure 3.3b.
2.
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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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