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Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part (a). Show vour solution steps.

Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part (a). Show vour solution steps.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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  1. Determine the partial fraction expansion of X(s);
  1. Apply inverse Laplace to obtain x(t) of the function found in part (a). 

Show your solution steps. 

Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) S a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part (a). Show your solution steps.
Transcribed Image Text:Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) S a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part (a). Show your solution steps.
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