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Mathematics
Mathematics
Problem
The point
(
0
,
1
)
(0,1)
(
0
,
1
)
lies on the upper half of the circle defined implicitly by
x
2
+
y
2
=
1
x^{2}+y^{2}=1
x
2
+
y
2
=
1
. When
y
y
y
is expressed as a function of
x
x
x
near this point, what is
y
′
′
′
(
0
)
y'''(0)
y
′′′
(
0
)
? a)
1
1
1
b)
−
1
-1
−
1
c)
0
0
0
d)
2
2
2
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