A nonlinear device has y(t)=a0+a1x(t)+a2x^2(t)+a3x^3(t).If x(t)=cos(w1t)+cos(w2t),list all the frquency component present in y(t).Discuss the use of this device as a frequency multiplier.
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A nonlinear device has y(t)=a0+a1x(t)+a2x^2(t)+a3x^3(t).If x(t)=cos(w1t)+cos(w2t),list all the frquency component present in y(t).Discuss the use of...
assume f(x)=a0+a1x+a2x^2+a3x^3+a4x^4... dont used this solution method pls because this not what the teacher want 4 Power Series Solutions to two important ODES 1. Find a power series (with two arbitrary constants) satisfying the following ODE S"(x) + f(2)=0 Write your answer in a closed form. 10 points Let f(2)= { an en f(x) non-don 22 on Žnin-Danza 3 anz":o. = { [ conta) (nt. Dants & an] 2n=o. (nta) (n+ Dant, tano. - (+) (0+2) (I+D (172) f(2)= {...
You are given the wave y(x,t)= - 5 cos ( 3 x + 2t) where all quantities are in SI. This wave propagates to the ___________________ and has angular frequency _________________. left; 3 Hz right; 3 Hz None of the other choices is correct. right; 2 Hz left; 2 Hz
need matlab code Exercise: Use MATLAB to generate a low frequency signal: xy(t) = 3 cos(1400) And a higher frequency signal: xz(t) = 2 cos(10,000st) Now add these two signals together to generate the dual-component signal: y(t) = 3 cos(14007a)+ 2 cos(10,000) Points to be addressed: Again, manually calculate the theoretical magnitude spectra of y(t) and show this in your report (use Microsoft Visio or similar for your diagram). Clearly label all axes! Contrast this working to what you see...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
You are given the wave y (x,t) = -5 cos (3x+2t) where all quantities are in SI. This wave propagates to the ___________________ and has angular frequency _________________. a. left; 3 Hz b. right; 3 Hz c. None of the other choices is correct. d. right; 2 Hz e. left; 2 Hz
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
5. Consider the nonlinear two dimensional Lotka-Volterra (predator-prey) system z'(t) = z(t)[2-2(t)-2y(t)l, y'(t) = y(t)12-y(t)--2(t)] (a) Find all critical points of this system, and at each determine whether or not the system is locally stable or unstable. (b) We proved in class, using the Bendixson-Dulac theorem, that this system has no periodic solution with trajectory in the first quadrant of the plane. Assuming this, use the Poincare-Bendixson theorem to prove that all trajectories (z(t),y(t)) of the system (2) with initial...
3) Consider a particle moving in the circular trajectory x(t) = 2 cos(t) and y(t) 2sin(t) subject to the potential U(x, y)-x2 (2 - ry) (a) (2 marks) Use the chain rule to calculate d at t = 0. (b) (3 marks) Calculate the change potential from compare it to the approximation 0.1 and 0 to t dt Repeat the comparison for the interval from t - 0 to t-0.01. (Be sure to keep enough significant digits to resolve the...
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...