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A straight strip of wood rests on a ramp whose profile is the curve y = x² + 2. It touches the ramp at the point (1, 3) and lies along the direction of the ramp there. Which line shows the position of the strip?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Application of Derivatives
A-Level
AP
IB
Created by
StemPy Lab
A straight strip of wood rests on a ramp whose profile is the curve
y
=
x
2
+
2
y = x^2 + 2
y
=
x
2
+
2
. It touches the ramp at the point
(
1
,
3
)
(1, 3)
(
1
,
3
)
and lies along the direction of the ramp there. Which line shows the position of the strip?
y
=
3
x
y = 3x
y
=
3
x
y
=
x
+
2
y = x + 2
y
=
x
+
2
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
y
=
2
x
+
1
y = 2x + 1
y
=
2
x
+
1
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