NUMERICAL AND GRAPHICAL ANALYSIS An open box is to be made from a square piece of
Chapter 3, Problem 97(choose chapter or problem)
NUMERICAL AND GRAPHICAL ANALYSIS An open box is to be made 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 create a table that shows box heights and the corresponding volumes Use the table to estimate the dimensions that will produce a maximum volume. (d) Use a graphing utility to graph and use the graph to estimate the value of for which is maximum. Compare your result with that of part (c).
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