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Suppose that the mass in a mass-spring-dashpot system with m = 10, the damping constant c...

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Basic Math

Suppose that the mass in a mass-spring-dashpot system with m =10, the damping constant c = 9, and the spring constant k = 2 isset in motion with x(0) = -1/2 and x'(0) = -1/4.

(a) Find the position function x(t).

(b) Determine whether the mass passes through its equilibriumposition. Sketch the graph of x(t).

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