Gradient at a point Problem set A Answers

1. (a) \(96\)
2. (b) \(88\)

1. (a) \(-0.75\)
2. (b) \(-7.25\)

1. (a) \(53\)
2. (b) \(5\)

1. (a) \(2.75\)
2. (b) \(10.25\)

1. (a) \(24\)
2. (b) \(20\)

1. (a) x = 2
2. (b) x = −1 or 1

1. (a) 8
2. (b) 7.1 and 7.01
3. (c) \(f'(1)=7\). The averages approach 7

1. (a) 2 cm per hour
2. (b) t = 3 hours

n = 10

1. (a) 27 m/s
2. (b) 22 m/s
3. (c) The rocket is speeding up, so its average speed over the second after t = 2 is greater than its speed at t = 2

x = 0 or 4

x = 1 or 3