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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

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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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