Question 3 (8 marks) An object moved in a straight line such that its distance from a point 'O' is given by the function: S(t) = 13 - 10t2 + 24t + 11 a) Determine the average rate of change of the object from 'O' with respect to time, for the time interval [3, 9]. (2 marks) b) Estimate the instantaneous rate of change of the object from 'O' with respect to time, at t = 6, using an appropriate interval centred at t = 6. (3 marks) c) Determine the objects instantaneous speed when t = 6, using the interval [6, 6 + h] and limits