Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) F(s) f(t) 48-60/5 4) 8r - 32J% 4e s-3 3s 2) s-4 6s - 54 5) s? +9 3 cosh 2t 6 cos 3t – 18sin3t 3s...

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Extracted text: Inverse Laplace Transforms Find the Inverse Laplace Transforms of the following. Linearity F(s) f(t) F(s) f(t) 48-60/5 4) 8r - 32J% 4e s-3 3s 2) s-4 6s - 54 5) s? +9 3 cosh 2t 6 cos 3t – 18sin3t 3s +3s 3s +9 6) s' +5 3 cos 5t + 9V5 sin 5t Completing the Square and Translations F(s) f(t) F(s) f(t) 10s +15 25 e' sin 2t 2 10e' cos 2t + 4) s? – 2s +9 -e' sin2/2t s- 2s +5 V2s 2) s? - 2s +3 4s+12 5) 4s? +4s+1 V2e' cos 2t +e' sin /2t V10 e sin 10 12s - 24 6) s? +16 S+2 ecos. 2s² + 4s+7 12 cos 4t -6 sin 4t Partial Fractions F(s) f(t) 100 / 1) (s+10)(s+20) 10(e-10t -e 20t) s?- 2s +5 2) (s-2) e2 +2te2t + 4s+3 7. 7 1 sint -e' cost+ (s-1)(s? +1) 2 2 s? +2s +7 4) (s? +2s+2)(s? +2s+5) 5 e sint--e' sin 2t 3 2 e - cost+ sint (s+1)(s +1) 2s+42 6) 2s? – 7s-15 4e5t - 3e % 4. s(s' +4) 1- cos 2t 8) (s+1)(s² +1) e- cost+sint - 11 - 10