Numerical and Graphical Analysis You plan to construct an
Chapter , Problem 3.2.97(choose chapter or problem)
Numerical and Graphical Analysis You plan to construct an open box from a square piece of material, 36 inches on a side, by cutting equal squares with sides of length from the corners and turning up the sides (see figure). (a) Write a function that represents the volume of the box. (b) Determine the domain of the function (c) Use a graphing utility to construct a table that shows the box heights and the corresponding volumes Use the table to estimate the dimensions that will produce a maximum volume. (d) Use the graphing utility to graph and use the graph to estimate the value of for which is a maximum. Compare your result with that of part (c).
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