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Mathematics
Mathematics
Problem
Let
y
y
y
be a solution to
d
y
d
x
=
4
x
3
−
2
x
\dfrac{dy}{dx}=4x^{3}-\dfrac{2}{x}
d
x
d
y
=
4
x
3
−
x
2
with
y
(
1
)
=
5
y(1)=5
y
(
1
)
=
5
. What is the value of
y
(
2
)
y(2)
y
(
2
)
? a)
16
−
2
ln
2
16-2\ln 2
16
−
2
ln
2
b)
20
−
ln
2
20-\ln 2
20
−
ln
2
c)
20
−
2
ln
2
20-2\ln 2
20
−
2
ln
2
d)
20
+
2
ln
2
20+2\ln 2
20
+
2
ln
2
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