Other Math Answers

Using MATLAB complete the steps below and submit the required plots.

1) Load the observations, Cx Matrix, and Cn Matrix stored in the ASCIl data files 'observations.dat,

Cx_matrix.dat, and 'Cn_matrix.dat'. Plot the observed signal, y. (5 Points)

2) Solve for the 5 tap Wiener Filter Impulse Response, h. Plot the impulse response. (30 Points

3) For comparison plot the observations signal, y, and the ground truth signal, x, on the same

plot. You can load the ground truth from the file "true_states.dat". (30 Points)

4) Apply the Wiener Filter using MATLAB's "conv" tool. Plot the resulting state reconstruction and the

true state signal, x, on the same plot. (30 Points)

5) Compute the Mean Squared Error before and after applying the filter. (5 Points)

MSEbefore-2o-

MSEafter a-

(a)Lim (x⁴-3x²+2x+4)

x->2

(b) lim x²-1/x²-1

x->1

(c) lim 1/x²-4

x->0

(d) lim sin5x/sin7x

x->0

(e) lim 1/x²-4

x->2

(f) lim 1/x²-4

x->2

(g) lim x²-9/x-9

x->3

(h) lim sin2x+sin3x/x

x->0

(i) lim x^½-2/x-4

x->4

(j) lim 3x²+4x+2/6x⁶+3x²+8

x->...

Let f(x) =R->R and g(x): R->R be defined respectively as follows:

f: x->9-x², g: x->1/3x+5 find the domain and range of f and g. Find also f^-1 and g^-1.

Sketch the graph of f: x->x+|x+2| where x€R

Let f: R->R and g: R->R be defined respectively as follows:

f: x->9-× and g: x->3x+1

Find the domain and range of f and g.

Find f^-1 and g^-1. Using f^-1 and g^-1 you found,

Show that f^-1°g^-1=(g°f)^-1

A function f(x) is defined for the range -2a<=x<=2a by

f(x){2a-x if -2a<=x<0

f(x){2a+x if 0<x<=2a

Sketch f(x) and state the domain and range of f(x)

Paint Calculator

Write a C program that allows the user to enter values for the (1)width and (2)length of a wall in feet and (3)price per gallon of paint.

Assume that a gallon of paint covers 350 square feet of a wall. The program outputs the area of the wall in square feet, the number of gallons needed and the cost of the job.

Assume that ELFORA Meat processing and packing unit produces mixtures in 1000-pound batches. The mixture contains two ingredients: chicken and beef. The cost per pound of each of these ingredients is as follows:

Ingredient

 Cost per pound

Chicken

3 birr

Beef

5 birr

Assume further that each batch has the following recipe requirements;

A. At least 500 pounds of chicken

B. At least 200 pounds of beef

The ratio of chicken to beef must be at least 2 to 1. The company wants to know the optimal mixture of ingredients that will minimize cost.

Required;

1. Formulate the linear programming model for this problem

2. Solve the problem by the graphical and simplex approach

3. What will be the optimal solution values for the decision variables and the objective function?