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    Compute the volume of a solid.

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    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.

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    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.