Gradient at a point Problem set B Answers

1. (a) \(160\)
2. (b) \(35\)

1. (a) \(0.125\)
2. (b) \(16.5\)

1. (a) \(-35\)
2. (b) \(13\)

1. (a) \(7.5\)
2. (b) \(21.5\)

1. (a) \(12\)
2. (b) \(42\)

1. (a) x = −2
2. (b) x = −2 or 2

1. (a) 12
2. (b) 11.1 and 11.01
3. (c) \(g'(2)=11\). The averages approach 11

1. (a) 10 °C per minute
2. (b) t = 7 minutes

v = 6 km/h

1. (a) 15 euros per day
2. (b) 14 euros per day
3. (c) The rate is increasing, so the average over the two days after d = 10 is greater than the rate at d = 10

x = 0 or 6

x = 1 or 2