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Compute the volume of a solid.

A solid has a rectangular base in the x,y-plane with sides parallel to the coordinate axes and with opposite comers at points (0,0) and (4,6). The solid's sides are vertical, and the top is determined by the plane z = 3x + y. Compute the volume of the solid.

Solution Preview

Because, volume is calculated by the formula,
V = integration(y1 to y2) integration(x1 to x2) f(x,y) dx. dy
Hence, i given problem,
=> V = integration(0 to ...

Solution Summary

The volume of a solid is found.