Q4: The partial fraction expansion for X must have the form: X(s) = + As+B Cs+D s²+1 s²+64 It turns out there are no sine terms in x (t), so both B and D must be zero and A is given for free below. 10 S Cs Using the partfrac command, find the missing coefficient Cin: X(s) + s²+1 7 s²+64' i. 0 ii. + 1/3 iii. 3 iv. + +17 V. - 4 = vi. None of these.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Q4:** The partial fraction expansion for \( X \) must have the form: \( X(s) = \frac{As+B}{s^2+1} + \frac{Cs+D}{s^2+64} \).

It turns out there are no sine terms in \( x(t) \), so both \( B \) and \( D \) must be zero and \( A \) is given for free below.
 
Using the **partfrac** command, find the missing coefficient \( C \) in: \( X(s) = \frac{10}{7} \cdot \frac{s}{s^2+1} + \frac{C s}{s^2+64} \).

**Options:**
i. 0

ii. \( + \frac{1}{3} \)

iii. \( - \frac{1}{3} \)

iv. \( + \frac{4}{7} \)

v. \( - \frac{4}{7} \)

vi. None of these.
Transcribed Image Text:**Q4:** The partial fraction expansion for \( X \) must have the form: \( X(s) = \frac{As+B}{s^2+1} + \frac{Cs+D}{s^2+64} \). It turns out there are no sine terms in \( x(t) \), so both \( B \) and \( D \) must be zero and \( A \) is given for free below. Using the **partfrac** command, find the missing coefficient \( C \) in: \( X(s) = \frac{10}{7} \cdot \frac{s}{s^2+1} + \frac{C s}{s^2+64} \). **Options:** i. 0 ii. \( + \frac{1}{3} \) iii. \( - \frac{1}{3} \) iv. \( + \frac{4}{7} \) v. \( - \frac{4}{7} \) vi. None of these.
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