Given the s-domain signal: F(s)= 11/( s^3 + 12 s^2 + 232 s ). Determine the inverse Laplace Transform using the Stanley Method: f(t)= D + E exp( -alpha t ) sin( omega t + theta ). Give the answers in order: D,E,alpha,omega,theta. Theta has units of radians. (Hint: theta is negative). Omega has units of radians/sec.
Given the s-domain signal: F(s)= 11/( s^3 + 12 s^2 + 232 s ). Determine the...
1292) Determine the Inverse Laplace Transform of F (S) (14s 18)/(s 2+34+ The answer is f (t)-Q*exp (-alpha*t) *sin(w*t+phi). Answers are: A,alpha, w,phi where w is in rad/sec and phi is in rad ans:4
1292) Determine the Inverse Laplace Transform of F (S) (14s 18)/(s 2+34+ The answer is f (t)-Q*exp (-alpha*t) *sin(w*t+phi). Answers are: A,alpha, w,phi where w is in rad/sec and phi is in rad ans:4
1291) Determine the Inverse Laplace Transform of F(s)=(18s + 3)/(s^2+20s+164). The answer is f(t)=A*exp(-alpha*t)*cos(w*t) + B*exp(-alpha*t)*sin(w*t). Answers are: A,B,alpha,w where w is in rad/sec and alpha in sec^-1. ans:4
1292) Determine the Inverse Laplace Transform of F(s)=(18s + 3)/(s^2+20s+164). The answer is f(t)=Q*exp(-alpha*t)*sin(w*t+phi). Answers are: A,alpha,w,phi where w is in rad/sec and phi is in rad ans:4 PLEASE SHOW ANSWER WITH = *
1292) Determine the Inverse Laplace Transform of F(s)=(17s + 14)/(s^2+32s+400). The answer is f(t)=Q*exp(-alpha*t)*sin(w*t+phi). Answers are: A,alpha,w,phi where w is in rad/sec and phi is in rad ans:4
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87 exp[ -( 0.047 f )2 ] Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz. The correct answer is 3.93
please solve number 2 and number 4 from the following
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2. The equivalent s-domain model for an RC circuit is shown below. w The loop equation in the s-domain is given by: 3165) + 16 = 3244 Determine the current i(t). Use the phase shift approach. 3. Determine the inverse Laplace transform of s? Y(s) - 10s +3[sY(s) - 10 ] + 2Y(s) = - 4. Clearly answer the following questions: a. Explain the purpose of using the Laplace...
Consider the signal x(t) that has a Laplace transform of the form: s2-3s +1 X (s) where a, a , β, and γ are real constants E Fs +G Write a MATLAB FUNCTION called "values" that will take the values of αι, α2,β, and y and compute the constants A, B, C, D, E, F, and G. The Matlab function will also take these computed values and plot the function x(t) (meaning you will have to plot the obtained values...
3) al find the Laplace transform F(s) of the function (3-1²"Sebt sin (7+) 6) Find the inverse Laplace transform f(t) of the function F (S) S²+5-20
Verify the following using MATLAB
2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...