The equation of a curve is shown above, where k is a constant. The point P on the curve has x-coordinate 1. The normal to the curve at P is parallel to the straight line 3y=x.
4(a)Differentiation Rules Tangents NormalsMedium3 marks
Find the value of k.
Working
0 words
k=
4(b)Differentiation Rules Tangents NormalsHard4 marks
The point Q is also on the curve. The normal to the curve at Q is also parallel to the line 3y=x.