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Mathematics
Mathematics
Problem
Let
x
=
t
2
+
1
,
y
=
t
3
x=t^{2}+1,\;y=t^{3}
x
=
t
2
+
1
,
y
=
t
3
. The tangent to the curve has slope
4
4
4
. Which of the following is its equation? a)
y
=
4
x
+
364
27
y=4x+\dfrac{364}{27}
y
=
4
x
+
27
364
b)
y
=
3
2
x
−
364
27
y=\dfrac{3}{2}x-\dfrac{364}{27}
y
=
2
3
x
−
27
364
c)
y
=
4
x
−
364
27
y=4x-\dfrac{364}{27}
y
=
4
x
−
27
364
d)
y
=
4
x
−
292
27
y=4x-\dfrac{292}{27}
y
=
4
x
−
27
292
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