solve the metric system
+1Z 0Y 0Z +1W +6T = 1/3
0X +1Y 0Z -2W -3T= -101
0X 0Y +1Z -11/7W -1/2T = -10
solve the metric system +1Z 0Y 0Z +1W +6T = 1/3 0X +1Y 0Z -2W -3T=...
(1 point) Solve the system 4 -2 dx II dt 10 -4 -3 with x(0) = -2 Give your solution in real form. Xı = -3cos(21)+(27sin(2t))/5 x2 = -2cos(2t)-11 sin(2t) An ellipse with counterclockwise orientation 1. Describe the trajectory.
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first. 1. A LTI system has the frequency response...
At least one of the answers above is NOT correct. (1 point) Solve the system -6 -2 dc dt T 20 6 -3 with c(0) T: 1 Give your solution in real form. x1 = e^(t)-3cos (2t)- 10 sin(2t)) X2 = e^(1)(-33sin(2t)+cos(2t)) An ellipse with counterclockwise orientation 1. Describe the trajectory
1. Use Gauss-Jordan Elimination to solve the following system of equations. You must show all of your work identifying what row operations you are doing in each step. Do not use a graphing calculator in order to reduce the matrix or you will not receive credit for the problem.. 2x -4y + 6z-8w-10 -2x +4y +z+ 2w -3
(1 point) Solve the system 6 -2 dc dt 20 -6 C -3 with r(0) = -2 Give your solution in real form. 21 = 3cos(21)+8sin(2t) C2= 1. Describe the An ellipse with counterclockwise orientation trajectory
1. Solve the initial value problem for a damped mass-spring system acted upon by a sinusoidal force for some time interval f(t) = {10 sin 2t 0 0<t< y(0) 1, y'(0) -5 y"2y' 2y f(t), Tt zusor= 2. Consider two masses and three springs without no external force. The resulting force balance can be expressed as two second order ODES shown as below. mx=-(k k2)x1+ kzx2 m2x2 (k2k3)x2 + k2x1 15 If m 2,m2 ki = 1,k2 = 3, k3...
3. Solve the system of equations: (-x - 7y = 14 1-4X – 14y = 28 4. Solve the system of equations: 3x - 2y = 2 (5x - 5y = 10 5. Solve the system of equations: (2x + 8y = 6 1-x - 4y = -3
need parts 1, 2, 11, 13 For each of the following systems and inputs: Exercise 3.1 1. Check whether the system is stable. 2. If the system is stable, use frequency response to determine the steady state response? 3. For a stable system, the time to reach steady state can be estimated as four times the time constant of the slowest pole. When a system is stable, all poles are in the left half plane (LHP). The slowest pole is...
Exercise 3 (6 marks) Consider the forced mass-dampener-spring system that is represented by the differential equa- tion, mx" (t) + ca' (t) + k2(t) = e-t-e-2t where 1. Solve this IVP by using the Method of Undetermined Coefficients (MUC). 2. Solve this IVP by using the Variation of Parameters Method (VOP). Exercise 3 (6 marks) Consider the forced mass-dampener-spring system that is represented by the differential equa- tion, mx" (t) + ca' (t) + k2(t) = e-t-e-2t where 1. Solve...
1. Solve the nonhomogeneous linear system of differential equations d / 8 3 1 / -10 25 u + dt" ( 3 8 ) | 10 l -25