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7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 -1/(s+5) + 8(s+6)/((s+6)^2+4) + -4/((s+6)^2+4) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L1 {F(s)} : -e^(-5t)+8e^(-6t)*cos(2t)-2e^(-6t)sin(2t) help (formulas)

7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 -1/(s+5) + 8(s+6)/((s+6)^2+4) + -4/((s+6)^2+4) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L1 {F(s)} : -e^(-5t)+8e^(-6t)*cos(2t)-2e^(-6t)sin(2t) help (formulas)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.3: Partial Fractions
Problem 4E
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7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 -1/(s+5) + 8(s+6)/((s+6)^2+4) + -4/((s+6)^2+4) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L1 {F(s)} -e^(-5t)+8e^(-6t)*cos(2t)-2e^(-6t)sin(2t) help (formulas)
Transcribed Image Text:7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 -1/(s+5) + 8(s+6)/((s+6)^2+4) + -4/((s+6)^2+4) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L1 {F(s)} -e^(-5t)+8e^(-6t)*cos(2t)-2e^(-6t)sin(2t) help (formulas)
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