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Mathematics
Problem
At the point
(
1
,
2
)
(1,2)
(
1
,
2
)
on the curve
x
2
y
+
y
3
=
10
x^{2}y+y^{3}=10
x
2
y
+
y
3
=
10
, what is the equation of the normal line? a)
y
=
−
4
13
x
+
30
13
y=-\dfrac{4}{13}x+\dfrac{30}{13}
y
=
−
13
4
x
+
13
30
b)
y
=
13
4
x
−
5
4
y=\dfrac{13}{4}x-\dfrac{5}{4}
y
=
4
13
x
−
4
5
c)
y
=
−
13
4
x
+
21
4
y=-\dfrac{13}{4}x+\dfrac{21}{4}
y
=
−
4
13
x
+
4
21
d)
y
=
7
4
x
+
1
4
y=\dfrac{7}{4}x+\dfrac{1}{4}
y
=
4
7
x
+
4
1
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