Find the response of y(t) when x(t) = 3cos(7t+45degrees) and H(s) = 6/(2s+1)
Find the response of y(t) when x(t) = 3cos(7t+45degrees) and H(s) = 6/(2s+1)
When a unit step is applied to a system at t= 0, its response is y(t) = [7 +0.8e-3t-e-2t|3cos(46) + 4.5 sin(44)] (1). Is the transfer function of the given system H(s) = 7 + 1.60s 2(3+3) 2s(s+2) 52 + 4s + 20 9s S2 + 4s + 16 ? Yes No
Find the impulse response when x(t) = 5 cos(5t + 45degrees)
a(x,y,z) (1 point) Find the Jacobian. a(s,t,u) where x = 3t – 2s – 4u, y= -(2s + 4t+2u), z = 4t – 2s + 5u. 9 a(z,y,z) als,t,u) =
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
(S3)(s4) The response of the system is given by Y(s) s(s+2)(2s 1) Find the initial value of the system output.
1. A certain system has the following frequency response, 2(1 x 106(ja)2) H(ja)i2 + 500jw + 1 x 10 (12 pts). If the input is x(t) 3cos(21000t-250) + 5cos(27500t+63°), what is Y(jo)? a. b. (13 pts). Find the sinusoidal steady-state output, y(t) 1. A certain system has the following frequency response, 2(1 x 106(ja)2) H(ja)i2 + 500jw + 1 x 10 (12 pts). If the input is x(t) 3cos(21000t-250) + 5cos(27500t+63°), what is Y(jo)? a. b. (13 pts). Find the...
Find the inverse Laplace transforms of (a) (b) (c) s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) = (5-7)2 s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) =...
8. 3 Q Find steady-state response for vo(t), if i,()-3cos(5) A. i,(t) 4 2 0.05FVolt) 0.4 H
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response h(t) -sin(2t)/(7t (a) Find the Fourier transform Y() of the output (b) For what value of α does the energy in the output signal equal one-half the input signal energy? Hint: use the duality property of Fourier Transform to obtain H(a