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2. [20 pts] Use partial fraction analysis to derive the inverse Laplace transforms f(t) of thefollowing functions. F(s)=\frac{s-22}{s^{2}+s-6} F(s)=\frac{6}{s^{2}+2 s+4} F(s)=\frac{7 s^{2}+11 s-138}{s^{2}+s-20}

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