Undergraduate

The gap between the outside of a curved tank and an inclined wall is to be filled with foam insulation. The cross section is bounded

The gap between the outside of a curved tank and an inclined wall is to be filled with foam insulation. The cross section is bounded on the left by the curve f(x)=x234fx=x234and on the right by the curveg(x)=6x98gx=6x98.Assuming that the cross section of the gap to be filled is constant over a distance of 7 metres, find the total volume of foam insulation (in m3) needed to fill this gap. All measurements are in metres.

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