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    Maximizing the Volume of an Open Top Box

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    1.You are to design a container box by cutting out the four corners of a square cardboard sheet that is 1600 cm2 in area. The box must have a square base and an open top. Determine the dimensions of the box that give maximum volume.

    2.Sketch the graph of the function f(x)=x2+4 Identify the following features of the graph:
    x2+9
    a)domain
    b)x-intercepts
    c)y-intercepts
    d)symmetry
    e)asymptotes
    f)intervals of increase or decrease
    g)local maximum or minimum values
    h)concavity and points of inflection

    See attached file for full problem description.

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    https://brainmass.com/math/optimization/maximizing-the-volume-of-an-open-top-box-120817

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    The volme of a open top box is maximized. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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