Numerical, Graphical, and Analytic Analysis An open box of maximum volume is to be made from a squar
Question: Numerical, Graphical, and Analytic Analysis An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure)
(a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Use the table to guess the maximum volume.
| Height | Length and Width | Volume |
| 1 | 24 – 2(1) | 1[24 – 2(1)]2 = 484 |
| 2 | 24 – 2(2) | 2[24 – 2(2)]2 = 800 |
(b) Write the volume V as a function of x.
(c)Use calculus to find the critical number of the function in part (b) and find the maximum value.
(d) Use a graphing utility to graph the function in part (b) and verify the maximum volume from the graph.
Price: $2.99
Solution: The answer consists of 2 pages
Deliverable: Word Document
Deliverable: Word Document
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