Using MATLAB
Problem 2: Calculate the inverse Z-transforms of X;(2) = _ 7+3.62-1 1+0.9z-1 + 0.182-2 3 –...
1.
problem 2. and 3. as follows
Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0
3. Find and MATLAB-plot (-10 n 10) the inverse z-transforms of the following: (a) Xa(z)=TE 2(3-2) , ROC: 비 > 1. 'ROC: 리 < 3z2 (e) Χ,(z) = 4부는구, ROC: 1 < 1리 You should consider using modified partial fraction expansions to solve these problems
3. Find and MATLAB-plot (-10 n 10) the inverse z-transforms of the following: (a) Xa(z)=TE 2(3-2) , ROC: 비 > 1. 'ROC: 리
Compute inverse z-transform of X(z) = (1 + 2z-1 + z-2)/ (1 - z-1 + 0.3561z-2) by expanding into a power series using long division. You can stop at the first four terms (Basically, get x(0), x(1), x(2) and x(3)). [10 points].
Find the inverse z-transform x[n] of X(z) = (-2z+6z^2)/(-z^2+2z^3) of the first 4 values starting from 0 (z is a complex variable)
PLEASE answer it nice and clear to be read
2. Find the Z-Inverse for the following fractions, [40 points] z(2z-1) (b) X2(z) =FT(HS) (z-2) (z-3)
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9.
Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9
Solve the following problem using Lagrange...
2. a. Use Laplace (and inverse) transforms to solve the DES: (See #3 &14, section 7. X" - x' - 2x=0; x(0)=2, x'(O)=0 b. x" +2x+4y=0, y" +x+2y=0; x(0)=y(0)=-1, x'(0)=y'(O)=0
7. (a) Use the Gauss-Jordan (and no other) method to calculate the inverse of the 3x3 matrix 1 P= -1 1 2 3 1 [5 marks] (b) Show that the mapping T : R3 R3 defined by Ty 2x + y + z. - x - y + 2z 3x + 2y - z 01-68 9.s +9) is a linear transformation, and write down its matrix representation A with respect to 17 [0] the standard basis 0 Suppose that a...
find the inverse z transform
X(z) = 1-2-3 with [2]<1