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A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
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I've gotten this far: This is the volume function:f(x) = 4x^3 - 160x^2 + 1200x
Could someone help check this for me and help me figure the local maximum between x = 0 and 10?
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