This preview shows page 1. Sign up to view the full content.
65. (a)
f
1
}
p
6
}
2
5
sin
}
p
6
}
5 }
1
2
}
(b)
The graphs of
y
1
5
f
(
x
),
y
2
5
0.3, and
y
3
5
0.7 are
shown.
[0, 1] by [0, 1]
The intersections of
y
1
with
y
2
and
y
3
are at
x
<
0.3047
and
x
<
0.7754, respectively, so we may choose any
value of
a
in
3
0.3047,
}
p
6
}
2
and any value of
b
in
1
}
p
6
}
, 0.7754
4
, where the interval endpoints are
approximate.
One possible answer:
a
5
0.305,
b
5
0.775
(c)
The graphs of
y
1
5
f
(
x
),
y
2
5
0.49, and
y
3
5
0.51 are
shown.
[0.49, 0.55] by [0.48, 0.52]
The intersections of
y
1
with
y
2
and
y
3
are at
x
<
0.5121
and
x
<
0.5352, respectively, so we may choose any
value of
a
in
3
0.5121,
}
p
6
}
2
, and any value of
b
in
1
}
p
6
}
, 0.5352
4
, where the interval endpoints are
approximate.
One possible answer:
a
5
0.513,
b
5
0.535
66.
Line segment
OP
has endpoints (0, 0) and (
a
,
a
2
), so its
midpoint is
1
}
0
1
2
a
}
,
}
0
1
2
a
2
}
2
=
1
}
a
2
}
,
}
a
2
2
}
2
and its slope is
}
a
a
2
2
2
0
0
} 5
a
. The perpendicular bisector is the line through
This is the end of the preview. Sign up
to
access the rest of the document.
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
 Limits

Click to edit the document details