Question: Given the two curves y = 3x and y = x + 1. (a) Sketch the area bounded by the curves and the lines

Given the two curves y = 3-x and y = x + 1. (a) Sketch the area bounded by the curves and the lines x = 0 and

Given the two curves y = 3x and y = x + 1. (a) Sketch the area bounded by the curves and the lines x = 0 and x = 3. (b) Find the bounded area in (a). [3 marks] [3 marks] (c) Find the volume of solid generated when the bounded region in (a) is rotated 360 about the x-axis. [4 marks] The speed distribution of a sample of 200 vehicles on an inner-city road with a speed limit of 75 km/h is recorded as below. Speed (v km/h) Number of vehicles 30 < v 40 15 40 Given the two curves y = 3x and y = x + 1. (a) Sketch the area bounded by the curves and the lines x = 0 and x = 3. (b) Find the bounded area in (a). [3 marks] [3 marks] (c) Find the volume of solid generated when the bounded region in (a) is rotated 360 about the x-axis. [4 marks] The speed distribution of a sample of 200 vehicles on an inner-city road with a speed limit of 75 km/h is recorded as below. Speed (v km/h) Number of vehicles 30 < v 40 15 40

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