The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx' + cx' + kx = f(t), x(0)=x'(0) = 0 m = 1, k=81, c= 18; f(t)=t if 0 ≤t≤8, f(t)= 0 if t> 8 Solve the initial value problem. x(t) = C...

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A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

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Q: Could you explain (b) as well?

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Q: Could you explain part(b) as well?

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Q: Everything was right except for C

A: As you said I am solving part C

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