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Mathematics
Problem
For the circle
x
2
+
y
2
=
a
2
x^{2}+y^{2}=a^{2}
x
2
+
y
2
=
a
2
, the expression for
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
in terms of
a
a
a
and
y
y
y
is a)
−
x
2
y
3
-\dfrac{x^{2}}{y^{3}}
−
y
3
x
2
b)
a
2
y
3
\dfrac{a^{2}}{y^{3}}
y
3
a
2
c)
−
a
2
y
3
-\dfrac{a^{2}}{y^{3}}
−
y
3
a
2
d)
−
a
2
y
2
-\dfrac{a^{2}}{y^{2}}
−
y
2
a
2
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