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Mathematics, 21.05.2020 05:01 sugeilochoa

Use the shell method to find the volume generated by revolving the shaded region about the y-axis. 0 1 2 0 1 2 3 4 5 x y y equals 2 plus StartFraction x squared Over 8 EndFraction A coordinate system has a horizontal x-axis labeled from 0 to 2 in increments of 0.25 and a vertical y-axis labeled from 0 to 5 in increments of 1. A smooth curve labeled "y equals 2 plus StartFraction x squared Over 8 EndFraction" rises from left to right at an increasing rate, passing through (0, 2) and approximately passing through (2, 2.5). The area bounded by the curve and the x-axis from x equals 0 to x equals 2 is shaded. A vertical line segment runs from the x-axis to the curve at x equals 1. The volume generated by revolving the shaded region about the y-axis is nothing cubic units. (Type an exact answer, using pi as needed, or round to the nearest tenth.)

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