The position of a mass on a spring is given by s = f(t) = 3e−t cos(6t + 8). a. Find lim s(t). t→∞ Interpret this in terms of the dynamics of the mass-spring system. b. Find the velocity and acceleration of the mass.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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  1. The position of a mass on a spring is given by

    s = f(t) = 3e−t cos(6t + 8).

a. Find

lim s(t). t→∞

Interpret this in terms of the dynamics of the mass-spring system.

b. Find the velocity and acceleration of the mass.

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