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Mathematics
Problem
Consider the curve defined by
x
2
+
y
2
=
25
x^{2}+y^{2}=25
x
2
+
y
2
=
25
. Determine the value of
d
2
y
d
x
2
\displaystyle \frac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at the point
(
3
,
4
)
(3,4)
(
3
,
4
)
. a)
−
25
16
-\dfrac{25}{16}
−
16
25
b)
25
64
\dfrac{25}{64}
64
25
c)
−
25
64
-\dfrac{25}{64}
−
64
25
d)
−
7
64
-\dfrac{7}{64}
−
64
7
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