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1.(a) Sketch and find the area of the region bounded by the graphs of y = 1 and y=x and y= -x + 4 (b)

1.(a) Sketch and find the area of the region bounded by the graphs of y = 1 and y=x and y= -x + 4 (b) Revolve this area around the y-axis and find the volume of the resulting solid. (c) Revolve this area around the line y = -1 and find the volume of the resulting solid. (d) In each of the above write the volumes as a percentage of the volume of the smallest rectangula container that will hold the solid

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