Modeling with Trigonometric Functions · Exercise 46
Create a function modeling the described behavior. Then, calculate the desired result using a calculator.
Two springs are pulled down from the ceiling and released at the same time. The first spring, which oscillates 14 times per second, was initially pulled down 2 cm from equilibrium, and the amplitude decreases by 8% each second. The second spring, oscillating 22 times per second, was initially pulled down 10 cm from equilibrium and after 3 seconds has an amplitude of 2 cm. Which spring comes to rest first, and at what time? Consider “rest” as an amplitude less than
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OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 46
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