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[Solution Library] 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

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)

  1. 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.

  1. Use a graphing utility to graph the function in part (b) and verify the maximum volume from the graph.
    Price: $2.99
    Solution: The downloadable solution consists of 3 pages
    Deliverable: Word Document


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