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:
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.
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.