Need help with my LAb

All questions should be written in a MATLAB script.Make a comment in the first line of your Script and write your name as a comment.Youshould submityour entire code. Do not submit thefinal answers or output tableonly. I will grade your code, not the final result.If you are writing all the questions in one script, separate questions using %% and begin each section with clear all; close all;

1.Create a character array (1x3), and store 3 stringsyour first namelast nameand age

2.The following series can be written with a shorthand form of sigma notation (A): 12+12∗3+13∗4+⋯+1𝑛(𝑛+1)𝐴=∑1𝑛(𝑛+1)𝑛=10000𝑛=1Write aMatlab code to calculate this arithmetic series.

3.Create these matrices:

A = [243519]

B = [104512951]

a.Use the sizefunction to find the size of Matrix A and B.

b.Use the sizefunction to find the number of rows for matrix A and the number of columns for matrix B and call those variables NColumns and Nrows.

c.Zero the thirdcolumn of Matrix B\

d.Multiply Bby A.

4.You work for an engineering design firm that has been contracted to evaluate the concentration of pollutants. A tall chimney releases (𝑀̇=20 kg/s) of smoke into a steady uniform wind of speed (u=10 m/s). An expression for the decay of the peak pollutant concentrationC(ppm)with distance downwind is given as:𝐶(𝑥,𝑦,𝑧)=𝑀̇4𝜋𝜌𝐷𝑥∗𝑒−(𝑦2+𝑧2)𝑢4𝐷𝑥Assuming that the diffusion coefficient D to be 0.01 m2/s, and the density of air to be (𝜌=1.225𝑘𝑔/𝑚3),4.You work for an engineering design firm that has been contracted to evaluate the concentration of pollutants. A tall chimney releases (𝑀̇=20 kg/s) of smoke into a steady uniform wind of speed (u=10 m/s). An expression for the decay of the peak pollutant concentrationC(ppm)with distance downwind is given as:𝐶(𝑥,𝑦,𝑧)=𝑀̇4𝜋𝜌𝐷𝑥∗𝑒−(𝑦2+𝑧2)𝑢4𝐷𝑥Assuming that the diffusion coefficient D to be 0.01 m2/s, and the density of air to be (𝜌=1.225𝑘𝑔/𝑚3),\

a)Write a code in matlabto calculate the pollutant concentration(C1, C2)at two different locations downwind:

1.(x=1000 m, -5m < y < 5m, z=0 m). Use an interval of 0.2m for y.

2.(x =20000 m, -5m <y<5m, z = 0m).Use an interval of 0.2m for y.

b)Find the maximum pollutant concentration and the mean valuefor C1 and C2,using the built-infunctions.

c)Plot C1 and C2 on onesinglefigure;

a.Use blue dashed line for C1 and red dots for C2.

b.Plot the lines with a line width of 1.5.

c.Label x axis as ‘y(m)‘ and y axis as ‘ C (ppm)’.

d.Add a legend for C1 and C2.

e.Add twotext descriptionson this figure to the maximum points of C1 and C2.on the

5.Image processing

a.Read animage from your computer in Matlab:

b.Fromthe size of your matrix determinethe width and height of your image andif it isRGB or grayscale? (Show me the results as well.)

c.Change your RGB imageto gray scale.

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