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# Diving Board Problem: Figure 15-3e shows a diving board deflected by a person standing

ISBN: 9781559533911 468

## Solution for problem 5 Chapter 15-3

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 5

Diving Board Problem: Figure 15-3e shows a diving board deflected by a person standing on it. Theoretical results on strength of materials indicate that the deflection of such a cantilever beam below its horizontal rest position at any point x from the built-in end of the beam is a cubic function of x. Suppose that the following deflections, f(x), are measured, in thousandths of an inch, when x is measured in feet. x (ft) f(x) (thousandths of an inch)0 01 1162 4483 972a. Find the particular equation of the cubic function that fits the data. Show that the linear and constant coefficients are zero. b. How far does the diving board deflect at its end, x = 10 feet, where the person is standing? c. Show that the function has another zero but that it is out of the domain of the function. d. Sketch the graph of the function, showing both vertices. Darken the part of the graph that is in the domain determined by the 10-foot-long diving board.

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Test 2: ANTH 196 Study this set online at: http://www.cram.com/ï¬‚ashcards/test-2-anth-196-6920743 Pea plants: discrete and discontinuous Gregor Mendel a single pea plant has male and female reproductive organs...

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