Solved: Maximum Volume An open box of maximum volume is to

Chapter , Problem 2.2.61

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Maximum Volume An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). (a) The table shows the volumes (in cubic centimeters) of the box for various heights (in centimeters). Use the table to estimate themaximum volume. (b) Plot the points from the table in part (a). Does the relation defined by the ordered pairs represent as a function of (c) Given that is a function of write the function and determine its domain.

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