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Mathematics
Problem
Let
d
y
d
x
=
3
x
2
−
4
x
+
1
\dfrac{dy}{dx}=3x^{2}-4x+1
d
x
d
y
=
3
x
2
−
4
x
+
1
with
y
(
2
)
=
5
y(2)=5
y
(
2
)
=
5
. Which of the following is the explicit formula for
y
(
x
)
y(x)
y
(
x
)
? a)
y
(
x
)
=
x
3
−
2
x
2
+
x
+
5
y(x)=x^{3}-2x^{2}+x+5
y
(
x
)
=
x
3
−
2
x
2
+
x
+
5
b)
y
(
x
)
=
x
3
−
2
x
2
+
x
+
3
y(x)=x^{3}-2x^{2}+x+3
y
(
x
)
=
x
3
−
2
x
2
+
x
+
3
c)
y
(
x
)
=
x
3
−
4
x
2
+
x
+
11
y(x)=x^{3}-4x^{2}+x+11
y
(
x
)
=
x
3
−
4
x
2
+
x
+
11
d)
y
(
x
)
=
x
3
−
2
x
2
+
x
−
3
y(x)=x^{3}-2x^{2}+x-3
y
(
x
)
=
x
3
−
2
x
2
+
x
−
3
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