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2. Figure shows the region R which is bounded by the line y = x - 1 and the curve y = (x - 1).

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2. Figure shows the region R which is bounded by the line y = x - 1 and the curve y = (x - 1). The a) Find the coordinates of A and B. coordinates of intersection between the line and b) Find the volume of the solid generated by the curve are (1, 0) and (2, 1). revolving the shaded region about the line x = 0 using Washer Method. Find the volume of the solid generated by revolving the shaded region about the line y = 5 using Shell Method. y= x- 1 5. Figure below shows the shaded region R bounded by the curve y = x? and the line y = x + 2. y = (x- 1) Y (Jun 19) a) Use Washer Method to find the volume of the /y= x+ 2 solid generated when R is rotated about the x-axis. b) Use Shell Method to find the volume of the R solid generated when R is rotated about the y-axis. a) Find the volume of the solid generated when 3. The region B in figure below is bounded by the the shaded region R is revolved about the line curve x = y + 3, the line Zy = x - 11 and the x-axis, y = 5 using the Washer Method. (Jun 18) bj Find the volume of the solid generated when the shaded region R is revolved about the line x=y+3 (19. 4) x = - 2 using the Shell Method. B 6. Figure below shows the region R bounded by the 3 curve y = x' and the line y = 1. [Dec 19) (7. -2) 2y = x - 11 v=r Y = 1 a) Find the volume of the solid generated when R the shaded region B is revolved about the line * = 3 using the Washer Method. b) Find the volume of the solid generated when the shaded region B is revolved about the line y = - 1 using the Shell Method. 4. The shaded region in figure below is bounded by the curve x = y? + 3 and the line y =5 - x as shown a) Find the volume of the solid by using Disk method when the shaded region is revolved below. Y about the line y = 1. bj Using the Shell method, find the volume of the solid generated when the shaded region is y =5-X revolved about x-axis. 14 75

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