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Mathematics
Problem
The circle
x
2
+
y
2
=
25
x^{2}+y^{2}=25
x
2
+
y
2
=
25
passes through the point
(
0
,
5
)
(0,5)
(
0
,
5
)
. Evaluate
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at this point and state whether the curve is concave upward or concave downward there.
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