Maximum Value square of side x inches is cut out of each
Chapter 1, Problem 1.498(choose chapter or problem)
In Exercises 21–36, write an equation for the problem and solve the problem.
Maximum Value Problem A square of side x inches is cut out of each corner of a 10 in. by 18 in. piece of cardboard and the sides are folded up to form an open-topped box.
(a) Write the volume V of the box as a function of x.
(b) Find the domain of your function, taking into account the restrictions that the model imposes in x.
(c) Use your graphing calculator to determine the dimensions of the cut-out squares that will produce the box of maximum volume.
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