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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 , wherec is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 59/(s+5) + (-26-j31)/(s+6+j2) + (-26+j31)/(s+6-j2) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L-1 {F(s)} = | 59e^(-5t)-e^(-6t)"(52cos(2t)+62sin(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 , wherec is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 59/(s+5) + (-26-j31)/(s+6+j2) + (-26+j31)/(s+6-j2) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L-1 {F(s)} = | 59e^(-5t)-e^(-6t)"(52cos(2t)+62sin(2t)) help (formulas)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
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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 s-p where c is a constant and the root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 59/(s+5) + (-26-j31)/(s+6+j2) + (-26+j31)/(s+6-j2) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L-1 {F(s)} = 59e^(-5t)-e^(-6t)*(52cos(2t)+62sin(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 s-p where c is a constant and the root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 59/(s+5) + (-26-j31)/(s+6+j2) + (-26+j31)/(s+6-j2) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L-1 {F(s)} = 59e^(-5t)-e^(-6t)*(52cos(2t)+62sin(2t)) help (formulas)
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