Given the two curves y = 3x and y = x + 1. (a) Sketch the...

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Given the two curves y = 3x² and y = x² + 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 <v≤ 50 60 50 < v≤ 60 40 60 < v≤ 70 60 70<v≤ 80 20 80 <v≤ 90 5 (a) Estimate the mode. [2 marks] (b) Estimate the lower and upper quartiles. [4 marks] (c) Estimate the thirtieth and seventieth percentiles. [4 marks] Given the two curves y = 3x² and y = x² + 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 <v≤ 50 60 50 < v≤ 60 40 60 < v≤ 70 60 70<v≤ 80 20 80 <v≤ 90 5 (a) Estimate the mode. [2 marks] (b) Estimate the lower and upper quartiles. [4 marks] (c) Estimate the thirtieth and seventieth percentiles. [4 marks] Given the two curves y = 3x² and y = x² + 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 <v≤ 50 60 50 < v≤ 60 40 60 < v≤ 70 60 70<v≤ 80 20 80 <v≤ 90 5 (a) Estimate the mode. [2 marks] (b) Estimate the lower and upper quartiles. [4 marks] (c) Estimate the thirtieth and seventieth percentiles. [4 marks] Given the two curves y = 3x² and y = x² + 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 <v≤ 50 60 50 < v≤ 60 40 60 < v≤ 70 60 70<v≤ 80 20 80 <v≤ 90 5 (a) Estimate the mode. [2 marks] (b) Estimate the lower and upper quartiles. [4 marks] (c) Estimate the thirtieth and seventieth percentiles. [4 marks]

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a First we print the curves ... View the full answer