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OpenStax, Precalculus 2e §7.6 Modeling with Trigonometric Functions · Exercise 37 · Trigonometry · Identities

Modeling with Trigonometric Functions · Exercise 37

Construct an equation that models the described behavior.

A spring attached to the ceiling is pulled 10 cm down from equilibrium and released. The amplitude decreases by 15% each second. The spring oscillates 18 times each second. Find a function that models the distance, the end of the spring is from equilibrium in terms of seconds, since the spring was released.

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OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 37

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