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Mathematics
Problem
The curve is given parametrically by
x
=
t
2
+
1
x=t^{2}+1
x
=
t
2
+
1
and
y
=
2
t
−
1
y=2t-1
y
=
2
t
−
1
. Determine the equation of the normal line to the curve at the parameter value
t
=
2
t=2
t
=
2
. a)
y
=
−
2
x
+
7
y=-2x+7
y
=
−
2
x
+
7
b)
y
=
−
2
x
+
13
y=-2x+13
y
=
−
2
x
+
13
c)
y
=
1
2
x
+
1
2
y=\dfrac{1}{2}x+\dfrac12
y
=
2
1
x
+
2
1
d)
y
=
2
x
−
7
y=2x-7
y
=
2
x
−
7
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