The detailed solution is given below.
Extra information
Please upvote the solution is found satisfactory.
Problem 1c (7 points): Find the final value of the system corresponding to Y(s) = 3(3+2)...
Find the final value of the system corresponding to Y(s) = 3(s + 2) s(s2 + 25 + 10)
. Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = 365+1096+4) (.e. f(t) is causal) lim f(t) = 00 1-0 limf(t) = 1. 10x4 lim f(t) = 0 • limf(t) cannot computed since sF(s) is not analytic. None of these choices is correct. -0 . t-0 t+0 . b) (2 points) What is the final value of time function f(t) corresponding to the one 40 sided...
G(s) Y(s) s+2 1. (25 points) A system has G(S) = 21ac11: (a) Find the two points that define each real-axis segment of the root locus. (b) Find the maximum value of the gain K for the closed-loop to be stable. If there are root loci that cross the imaginary axis, also find the corresponding frequency of the closed-loop roots that lie on the imaginary axis. (c) Find the angle of departure from the complex poles. (d) Find the location...
E 2005-W19 HW-8 Due: Thur 4/11/19 3 Problem 2 Initial and final value theorems a) Find the initial value of the following function using the Initial Value Theorem Fs)-+2 25 (s2 +25 a) Find the final value of the following function using the Final Value Theorem s +24 s(s+3)(s+16)
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...
3. (20 points) Find the solution y = y(x) of the initial value
problem y 0 − y x = cos2 (y/x) , y(1) = π 3
3. (20 points) Find the solution y = y(x) of the initial value problem 37 - = cos”(y/2),y(1) = 5
Question 11 (8 points) Find the best predicted value of y corresponding to the given value of x. A Eight pairs of data yield r=0.708 and the regression equation y = 55.8 + 2.79%. Also, y = 71.125. What is the best predicted value of y for x = 9.1? 1) 510.57 2) 57.80 3) 71.13 4) 81.19
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed...