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Mathematics
Mathematics
Problem
Find all the values of the parameter
a
a
a
(
a
≥
1
a \ge 1
a
≥
1
) for which the area of the figure bounded by pair of straight lines
y
2
−
3
y
+
2
=
0
y^2 - 3y + 2 = 0
y
2
−
3
y
+
2
=
0
and the curves
y
=
[
a
]
x
2
y = [a]x^2
y
=
[
a
]
x
2
,
y
=
1
2
[
a
]
x
2
y = \frac{1}{2}[a]x^2
y
=
2
1
[
a
]
x
2
is greatest, where
[
.
]
[.]
[
.
]
denotes the greatest integer function.
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