Question

6. (6 points) Determine the partial fraction expansion of: $$X(s) = \frac{-3s^2 + 3s + 42}{s(s^2 + 5s - 14)}$$ (2 points) Determine the location of the poles of the system, and if it is a stable system or not.

Name: 6 6 points determine the partial fraction expansion of xs frac 3s2 3s 42ss2 5s 14 2 points determine the location of the poles of the system and if it is a stable system or not 86392
Uploaded: 2023-07-19T11:55:30-08:00
Duration: 4 min 33 s
Channel: Madhur L
Description: 6 6 points determine the partial fraction expansion of xs frac 3s2 3s 42ss2 5s 14 2 points determine the location of the poles of the system and if it is a stable system or not 86392

          6. (6 points) Determine the partial fraction expansion of:
$$X(s) = \frac{-3s^2 + 3s + 42}{s(s^2 + 5s - 14)}$$
(2 points) Determine the location of the poles of the system, and if it is a stable system or
not.

$6 6 points determine the partial fraction expansion of xs frac 3s2 3s 42ss2 5s 14 2 points determine the location of the poles of the system and if it is a stable system or not 86392$

Added by Virginia M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/19/2023

Step 1

Step 1: First, factor the denominator: $$s(s^2 + 5s - 14) = s(s+7)(s-2)$$ So, we can write the partial fraction expansion as: $$X(s) = \frac{A}{s} + \frac{B}{s+7} + \frac{C}{s-2}$$ Show more…

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6. (6 points) Determine the partial fraction expansion of: $$X(s) = \frac{-3s^2 + 3s + 42}{s(s^2 + 5s - 14)}$$ (2 points) Determine the location of the poles of the system, and if it is a stable system or not.