Given x(z) = (zˆ2+1)/(z-1/2) Find y(n) = x(2n).(1/2)ˆn and w(n) = cos(pi.n/2).x(n)
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Given x(z) = (zˆ2+1)/(z-1/2) Find y(n) = x(2n).(1/2)ˆn and w(n) = cos(pi.n/2).x(n)
2) Given that 4 cos[(2n + 1)x] |x| = = = - - nao ,- < x <te. (2n + 1)2 Find the Fourier series of g(x) = -1 1 -1 < x < 0 0 < x <TE 1
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...
For three sequences X[n],y[n],z[n], assume that Y(w)= X(-w) and (w)= X(w + TT) in the Fourier domain. In the z-domain, what are Y(z) and Z(z), respectively? A. X(-2) and - X(z) B. X(- z) and X(2-1) c. -X(z) and X(2-1) D. -X(z) and X(-2) E. X(z-) and X(-2) F. X(z-1) and - X(z) G. None of the above.
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an exact answer, using radicals as needed.)
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
5] (2) GIVEN: a> 0,0# {(x, y, z) z a"-x'-y") W is the solid region of R' that is below 2 and above the xy- plane. W has constant density,8 and the mass of W is M, m(W) M FIND: The moment of inertia, I, of W with respect to the z- axis, express 2 I in terms of M and a without 8
2. Given R(x,y, z, w, k, t). There are two keys: (x,y) and z. Given the following functional dependency: F = { {x,y} {z,w,k,t}, z {x,y,w,k,t }, yt}. Is R in 2nd normal form? Justify your answer. 3. Given R(x,y, z, w, k, t). There are two keys: (x,y) and z. Given the following functional dependency: F = { fd1:{x,y} {z,w,k,t}, fd2: z {x,y,w,k,t }, fd3:k x}. Is R in 3rd normal form? Justify your answer....
2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n − 1)x[n] dX(92) Hint: nx[n]< > ; dΩ
The value of cos(x) is evaluated as follows: cos(x)=1- x^2/2!+ x^4/4!- x^6/6!+ x^8/8!+⋯+ x^2n/((2n)!) Where n is related to the accuracy level required for cos(x). Write a C++ program that asks the user to input n and x and then the program will evaluate cos(x) up to the 2n terms.
8Two vector fields are given: F(x,y,z) - (esin(yz), ze* cos(yz), ye* cos(yz)) and F(x,y,z) = (z cos y, xz sin y, x cos y). a) Determine which vector field above is conservative. Justify. Foly = fjol so, <ea sin(J2), 20% cos(82), y acos (92)) Conservative. b) For the vector field that is conservative, find a function f such that F - Vf. Lxelsing2, zetos yea, yet cosy 2 c) Use the Fundamental Theorem of Line Integrals to find the work...