y Gisen the olbeing oreuit in the S-aomm n S-domain 24 o) Find the expression fr
Find the output y[n] using the discrete time domain method by hand: With: A-f ), B-M, c = [O 11, D = [1] and q(0)-A and x[n] = u[n] 2 01 Find the output y[n] using the discrete time domain method by hand: With: A-f ), B-M, c = [O 11, D = [1] and q(0)-A and x[n] = u[n] 2 01
Find the inverse fourier transform of the expression and sketch the time domain signal Find the inverse Fourier transform of Y(f)=4[sincʻ[(f –100)/5]+sincº [(f +100)/5]]exp(j107f) Sketch the time domain signal y(t) (qualitatively).
B. i) Convert ft) -10est+ 8est sin(12t) to the s-domain, for fit)>o. ii) Convert F(s) :24-to the time domain. s2+5s+6
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
Question 6. (7 points) Consider the function S(,y) = cos(In(a + y)). a) Find the domain and range. b) Sketch the domain. c) On a separate graph, sketch three level curves.
QUESTION 9 Find the domain and range and describe the level curves for the function f(x,y) y+10 1(x, y)s a.Domain: all points in the x-y plane excluding x O: range: all real numbers; level curves: parabolas y ex2-10 b. Domain all points in the xey plane; range: real numbersz 0: level curves: parabolas y- ex2- 10 Domain :all points in the x-y plane; range: all real numbors; levol curvos: parabolas y ex2-10 d. Domain all points in the x-y plane...
3. Find an expression for the step response in the time domain for a system H(s) with Bode diagram shown below. Show all working. Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud
QUESTION 5 a) Find and sketch the domain of the function f(x,y) = \n(x2 - y +1) + VÝ +1. (5 marks) b) Evaluate eży sin(3x +2y) lim (x,y) (-2,3) 3x +2y (6 marks)
Exercise 20 Let fr,y} be an orthonormal basis of a two-dimensional subspace S of R" and T A= xx SL (i) Show that N(A (ii) Show that the rank of A is 2 (iii Show that x and y are eigenvectors of A for an eigenvalue X of A. What is A? Exercise 20 Let fr,y} be an orthonormal basis of a two-dimensional subspace S of R" and T A= xx SL (i) Show that N(A (ii) Show that the...
Q1) A-Random variable X has the following Probability Density Function (PDF) fr(x)= 부.lel s 3. (0, xl>3, A1-Show that fr (x) is a valid PDF. B- X is a uniform (-1,3) random variable. Let Y be the output of a clipping circuit with the input X such that Y - 80Q) where χ>0. , B1-Find P(Y-1). B2-Find P(Y 3). B3-Derive and plot the cumulative distribution function (CDF) of the random variable Y, Fy (). B4-What is the probability density function...