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Mathematics
Mathematics
Problem
Find the maximum area of the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
which touches the line
y
=
3
x
+
2
y = 3x + 2
y
=
3
x
+
2
.
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