47.
One possible answer:
48.
One possible answer:
49. (a)
Regression equation:
y
5
[0, 8] by [
2
400, 2300]
(b)
At approximately
x
5
3.868 (late in 1996), when the
sales are about 1081 million dollars/year
(c)
2161.45 million dollars/year
50. (a)
In exercise 13,
a
5
4 and
b
5
21, so
2}
3
b
a
}52}
7
4
}
,
which is the
x
value where the point of inflection
occurs. The local extrema are at
x
52
2 and
x
52}
3
2
}
,
which are symmetric about
x
52}
7
4
}
.
(b)
In exercise 8,
a
52
2 and
b
5
6, so
2}
3
b
a
} 5
1, which
is the
x
value where the point of inflection occurs. The
local extrema are at
x
5
0 and
x
5
2, which are
symmetric about
x
5
1.
(c)
f
9
(
x
)
5
3
ax
2
1
2
bx
1
c
and
f
0
(
x
)
5
6
ax
1
2
b
.
The point of inflection will occur where
f
0
(
x
)
5
0, which is at
x
52}
3
b
a
}
.
If there are local extrema, they will occur at the zeros
of
f
9
(
x
). Since
f
9
(
x
) is quadratic, its graph is a parabola
and any zeros will be symmetric about the vertex which
will also be where
f
0
(
x
)
5
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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

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