Take mx′′ + cx′ + kx = F0 cos(ωt). Fix m > 0, k > 0, and F0 > 0. Consider the function C(ω). For what values of c (solve in terms of m, k, and F0) will there be no practical resonance (that is, for what values of c is there no maximum of C(ω) for ω > 0)?

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Take mx′′ + cx′ + kx = F0 cos(ωt). Fix m > 0, k > 0, and F0 > 0. Consider the function C(ω). For what values of c (solve in terms of m, k, and F0) will there be no practical resonance (that is, for what values of c is there no maximum of C(ω) for ω > 0)?

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