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Back to 7.6 Modeling with Trigonometric Functions

7.6 Exercise 59

Avg difficulty 2.5

Construct an equation that models the described behavior.

A spring attached to the ceiling is pulled 17 cm down from equilibrium and released. After 3 seconds, the amplitude has decreased to 13 cm. The spring oscillates 14 times each second. Find a function that models the distance, D, D , the end of the spring is from equilibrium in terms of seconds, t, t , since the spring was released.

OpenStax Precalculus 2e, 7.6 Modeling with Trigonometric Functions, exercise 59

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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.