Question 27 (4 marks) After taking a break at a rest step, Sergio starts driving down a highway. His car's velocity after t seconds is given by the equation v0) = 0.3):2 m/s. (a) Find how long it takes the car's velocity to reach 30 mfs. l (b) Find how far Sergio' 3 car has travelled during this time, in metres. 2 (c) Find the average speed of the car, in m/s, from when Sergio starts driving down the l highway -om the rest stop to when it reaches 30 m/s. Question 28 (4 marks) The continuous random variable X has cumulative distribution function O' for x 1. (a) Find P(X > 0.6). 2 (b) Find the probability density function f(x) of X. (c) Determine the mode of the distribution. Give your answer correct to three decimal places.Question 29 (4 marks) Sketch the graph of the curve y = x3 + 3.1::2 9x, labelling the stationary points and the point 4 of inection. Do NOT determine the xintercepts of the curve