Which of the following is the answer to y(t)-x(t) * v(t), when x(t) = 4e-un(t-1) and...
7. Consider the following signals f(t) = 4e-2tu(t) _ 2e-tu(t) v(t) = 2e-t/3 sin(5t)u(t) w(t) = te-2tu(t) Which of these signals (if any) (a) has repeated poles? (b) could be the impulse response of an all pass filter? (e) has poles on the ju-axis? (d) has a DC gain of 0? (e) has a left-sided ROC (Re(s) < a)?
Don't use z/laplace/fourier transforms. 3. Find x[n] * v[n] when (a) x[n] = ()" u[n] v[n] = (b)" u[n] (b) x[n] = (!) (n-1) u[n – 1] v[n] = (b)" u[n] (c) x[n] = () {n-1) u[n – 1] v[n] = 4e-2 (a)" u[n] (d) x[n] = (3) {n-1} u[n – 1] v[n] = (2) (n-3) u[n – 3] (e) x[n] = (k)" u[n] v[n] = 2 (b)" u[n] + 3 u[n]
The variables x and y are implicitly related to the equation x^4+ { ^Y down 1 e^-t^2 dt =1 ( Y is at the top of the { and 1 is at the bottom of the { ) The point p=(1,1) lies on the graph of the equation. Find the slope of the line tangent to the graph at the point p=(1,1) A.) 2e^-2 B.) 2e C.) -4e D.) -4e^-1 E.) 4e^-2
for $ | Show that the solutions un(x, t) defined in n (Un)t = k(un)11, Un(1,0) = n(2), fn(x) = { 0 converge to the fundamental solution S(,t), as n +0. [10pt] VIA -15-16 2 Solve the initial-value problem Ut – kurr + y = 0, (2,0) = f(x). Hint: Set v(x, t) = ertu(2,t). Find the equation satisfied by v and solve it. [10pt] State and prove the mean value property for harmonic functions in R3. [20pt]
12. if x = 0x25 then which of the following statements is correct a) if y = x | (1<<1) then y is 0x26 b) if y = x << 1 then y is 0x4A Review questions COMP 2401 Fall 2019 Page 4 of 14 c) if y = x & 0x37 then y is 0x35 d) if y = x | 0x37 then y is 0x35 e) All of the above statements are incorrect 13. What will be the...
Problem 5. For u = (Uk)x=1,2,... El, we set Tnu = (U1, U2, ..., Un, 0,...). (1) Prove that Tn E B(C2, (). (2) We define the operator I as Iu = u (u € 14). Then, prove that for any u ele, lim ||T,u - Tulee = 0. (3) Prove that I, does not converge to I with respect to the norm of B(C²,1). Let X, Y be Banach spaces. Definition (review) We denote by B(X, Y) a set...
4 a. y(t)-x(t)cos(t/2 b. y(t)-x(t)cos(') x()cos(21) c. X (ju) 5. The signals y(t) in 4a-4e are passed through a filter with unit impulse response h(t) so that the output is z(t)-h(t)*y(t) . Ifthe frequency response of the filter is sketch by hand the Fourier transforms Z(j for 4a-4e Fromjust observing your sketches of Z (jo), which z(1) if any in a-e equal to the original
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4) (24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
Please solve these 3 questions and please give me a detailed explanation for your answer. Hopefully your answers are correct. Please help me out because I am stuck on how to solve these problems for a long time. 4. Which is the solution for a(0, y) = 0, u(1,y) = 0 u(z,0)=2sin(3xx), lim u(z,y)=0? B. 2e-3ry sin(3nx) C. 2sinh(3Ty)sin(3T) D. 2sinh(3Ty) cos(3Tx) E. none of the above 5. If y" + 3y' +2y = δ(t _ 2) with y(0) =...
U 1.1. Express each of the following complex numbers in Cartesian form (x + jy): bej, ke-ja, eja/2, e-ju/2, 359/2, 2ej#14, 2e396/4, 2e-39714, 2e-ja14 Express each of the following complex numbers in polar form (reje, with - 1 < 0 = T):5.-2-3;, ; - ; 3.1+j, (1 - i)?, j(1 - 1)(1+j)/(1-j), (/2 + ;/2) (1 + 1/3). Determine the values of P. and E. for each of the following signals: (a) xi(t) = e-2u(t) (b) x2(t) = el(21+ 7/4)...