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9.5 Exercise 214

Avg difficulty 2.5

Prove the identity.

A spring attached to a ceiling is pulled down 20 cm. After 3 seconds, wherein it completes 6 full periods, the amplitude is only 15 cm. Find the function modeling the position of the spring t t seconds after being released. At what time will the spring come to rest? In this case, use 1 cm amplitude as rest.

OpenStax Algebra and Trigonometry 2e, 9.5 Solving Trigonometric Equations, exercise 214

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.