Activity 2: In a damped oscillation system, the step response is given by c(t) = 7- 7e-0.6 cos 3t , t> 0 (a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35. (b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required to continue with the iterations until you reach an absolute error below 0.0001. (c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are required to continue with iterations to reach an absolute error below 0.0001.
Activity 2: In a damped oscillation system, the step response is given by c(t) = 7- 7e-0.6 cos 3t , t> 0 (a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35. (b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required to continue with the iterations until you reach an absolute error below 0.0001. (c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are required to continue with iterations to reach an absolute error below 0.0001.
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I need (a),(b) & (c)
Transcribed Image Text:Activity 2:
In a damped oscillation system, the step response is given by: c(t) = 7- 7e-
(a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35.
(b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required
to continue with the iterations until you reach an absolute error below 0.0001.
(c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are
required to continue with iterations to reach an absolute error below 0.0001.
-0.6t
cos 3t, t >0
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