Given G(s) = 5/(s^2 + 7s + 4) , is this system overdamped, underdamped, undamped, or critically damped?
The following control system is given U(s) E(s) 7s +12 (s+2)(+6) G() GS) At the time t=0 the input signal is utt a). Determine the output Ys) b). Determine the output Yſt)
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
Find the solution to the given system that satisfies the given
initial condition.
Find the solution to the given system that satisfies the given initial condition. -7 -1 x(t) = x(t), 2-5 - 5 2 (a) (0) = (b) x(t) = (c) x( - 2) = 21 (d) (2) = 0 1 1
Signals and system
& Consider the causal L.TI system whose system function is specified as +7s + 12 H)+Ds +2) Determine the integral form block diagram representation for this system as a serial and parallel inter-connection of first-order systems. (10 points).
& Consider the causal L.TI system whose system function is specified as +7s + 12 H)+Ds +2) Determine the integral form block diagram representation for this system as a serial and parallel inter-connection of first-order systems. (10 points).
7. Consider the following signal: 2s2 + 7s + 10 X(s) = 52 +65 +5 a. (6 points) Find the initial and final value of the signal (No MATLAB!). b. (9 points) Find the time domain signal using partial fraction expansion (No MATLAB!).
The initial condition of the banking system is as follows: $150 billion in reserve, $1,350 billion in loans and investments, and $1,500 billion in deposits. The required reserve is 10%. The Fed buys $100 billion government securities using open market operation. What is the maximum amount of loans in the banking system as a result of such Fed operation?
1 Pedro) Solve the following system of differential equations with initial value condition "+ 2x + y = 0 1 ++2y = 0 with (0) (0) - and (0) - (0) = -1
Find the particular solution that satisfies the differential equation and the initial condition. f'(s) = 145 – 453, f(3) = 3 f(s) =
Find the solution to the given system that satisfies the given initial condition. -8 -1 2 -6 X(t). (a) x(0) = [3] (b)x(1) = [-] (c)X(-2) = (d) x(1/2) = -[i]