Calculus
10th Edition
ISBN: 9781285948133
Author: Ron Larson; Bruce H. Edwards
Publisher: Cengage Learning US
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Chapter P.4, Problem 7E
Beam Strength 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.
| x | 4 | 6 | 8 | 10 | 12 |
| S | 2370 | 5460 | 10,310 | 16,250 | 23,860 |
(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.
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Chapter P Solutions
Calculus
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P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Prob. 29RECh. P - Prob. 30RECh. P - Finding Equations of Lines Find equations of the...Ch. P - Prob. 32RECh. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Prob. 35RECh. P - Prob. 36RECh. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Transformations of Functions Use a graphing...Ch. 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