Harder tangent and normal problems Problem set B Answers

1. (a) \(y=3.71x-4.42\)
2. (b) \(y=4.00x+20.5\)

1. (a) \(x=0\)
2. (b) \(x=3\)

1. (a) \(y=3x-16\)
2. (b) \(y=-\frac{1}{6}x+\frac{26}{3}\)

\(y=-\frac{1}{10}x-\frac{21}{5}\) and \(y=-\frac{1}{10}x+\frac{21}{5}\)

\((-1, -2)\) and \((3, -6)\)

\((-4, -4)\) and \((2, 8)\)

1. (a) \((-\frac{13}{4}, \frac{65}{16})\)
2. (b) \((-2, -2)\)

1. (a) \((-1, 4)\) and \((5, 28)\)
2. (b) \(y=10x-22\)

a = 4

Area = 20, for every a

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