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c) The diagram shows a straight line intersects the curve at point M. Given that the equation of the curve is y = -x² + 4 and the equation of the straight line is y = x. Identify the x- coordinates of point M. Hence calculate the area of the shaded region and the volume generated, in terms of r, when the shaded region is revolved fully about the x – axis. y | y =-** y =x M

c) The diagram shows a straight line intersects the curve at point M. Given that the equation of the curve is y = -x² + 4 and the equation of the straight line is y = x. Identify the x- coordinates of point M. Hence calculate the area of the shaded region and the volume generated, in terms of r, when the shaded region is revolved fully about the x – axis. y | y =-** y =x M

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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c) The diagram shows a straight line intersects the curve at point M. Given that the equation of the curve is y = -x²+ 4 and the equation of the straight line is y = x. Identify the x- coordinates of point M. Hence calculate the area of the shaded region and the volume generated, in terms of z, when the shaded region is revolved fully about the x – axis. y ·글x2+4 y =x M
Transcribed Image Text:c) The diagram shows a straight line intersects the curve at point M. Given that the equation of the curve is y = -x²+ 4 and the equation of the straight line is y = x. Identify the x- coordinates of point M. Hence calculate the area of the shaded region and the volume generated, in terms of z, when the shaded region is revolved fully about the x – axis. y ·글x2+4 y =x M
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