Harder tangent and normal problems Problem set A Answers

1. (a) \(y=3.67x-2.67\)
2. (b) \(y=4.00x+16.5\)

1. (a) \(x=0\)
2. (b) \(x=2\)

1. (a) \(y=5x-16\)
2. (b) \(y=-\frac{1}{2}x-\frac{3}{2}\)

\(y=-\frac{1}{9}x-\frac{20}{9}\) and \(y=-\frac{1}{9}x+\frac{20}{9}\)

\((-1, -5)\) and \((3, 3)\)

\((0, -2)\) and \((4, 6)\)

1. (a) \((-\frac{7}{3}, \frac{28}{9})\)
2. (b) \((-4, -\frac{1}{2})\)

1. (a) \((-1, 3)\) and \((7, 51)\)
2. (b) \(y=14x-47\)

a = 8

Area = 12, for every a

The tangent meets the curve again at \(x=-2k\)