?Students in a lab measured the breaking strength \(S\) (in pounds) of wood 2 inches thick, \(x\) inches high, and 12 inches long. The results are
Chapter 1, Problem 7(choose chapter or problem)
Students in a lab measured the breaking strength \(S\) (in pounds) of wood 2 inches thick, \(x\) inches high, and 12 inches long. The results are shown in the table.
(a) Use the regression capabilities of a graphing utility to find a quadratic model for the data.
(b) Use a graphing utility to plot the data and graph the model.
(c) Use the model to approximate the breaking strength when x = 2.
(d) How many times greater is the breaking strength for a 4-inch-high board than for a 2-inch-high board?
(e) How many times greater is the breaking strength for a 12-inch-high board than for a 6-inch-high board? When the height of a board increases by a factor, does the breaking strength increase by the same factor? Explain
Text Transcription:
S
x
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