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13 Nov 2019
ou are required to answer ALL questions 1 An mechanical engineer wants to create a model to assist him in the design of a light bulb by revolving the first quadrant region under the curve, y = 4-x, through 360° about the x-axis. a) Draw the graph of the function, y = 4-x2 in the domain 0 2 b) Using a sketch graph of the function, y = 4-x2, draw a 3-D diagram to show the shape of the light bulb after rotation about the x-axis. Find, by using integral calculus, the volume generated when the first quadrant region under the curve y = 4-x2 is rotated through 360 about the x-axis. c) d) The coordinates of the centroid of the solid generated by revolving the first quadrant region under the curve, y = 4-x2, about the x-axis is (Z 0). Given that x = Jo xy-ax, find the coordinates of the centroid of the solid. (20 marks)
ou are required to answer ALL questions 1 An mechanical engineer wants to create a model to assist him in the design of a light bulb by revolving the first quadrant region under the curve, y = 4-x, through 360° about the x-axis. a) Draw the graph of the function, y = 4-x2 in the domain 0 2 b) Using a sketch graph of the function, y = 4-x2, draw a 3-D diagram to show the shape of the light bulb after rotation about the x-axis. Find, by using integral calculus, the volume generated when the first quadrant region under the curve y = 4-x2 is rotated through 360 about the x-axis. c) d) The coordinates of the centroid of the solid generated by revolving the first quadrant region under the curve, y = 4-x2, about the x-axis is (Z 0). Given that x = Jo xy-ax, find the coordinates of the centroid of the solid. (20 marks)
Irving HeathcoteLv2
21 Feb 2019