Question

This should be written in MATLAB.

ICA 2: The Board of Regents has decided that the new hotel outside Kyle Field isn't big enough, so they are going to tear it down and build an even-bigger one. They would like you to model it in MATLAB first. In order to do that, you should follow these instructions. The formula for the height of the building, as a function of x and y is z = 1/(x2 + y2) where x and y both run from -0.75 to 0.75 in steps of 0.05. This function yields the height of the building in meters at locations in x and y. It was pointed out that when x and y are both 0, this equation would yield an infinite height. The Board of Regents didn't see the problem with that, until you pointed out that an infinitely tall building would require an infinite amount of concrete, and would be infinitely expensive. They understand that, and told you to adjust the model so that you didn't divide by zero. It was next pointed out that the new hotel would be in the flight path of Easterwood airport, and the FAA regulations would limit the building to 300 m. Once the Board understood that the FAA was not a football conference inferior to the SEC, they agreed that your model should limit the height to 300 m. Using meshgrid and surf, please generate a figure with a modeled building. You may find the find function useful in your script. The figure should look something like this: a) b) c) d)

Answer 1

The required MATLAB comment along with necessary comments are given as follows:

clear all
close all
clc

x = [-0.75:0.05:0.75]; % the x-cordinate
y = [-0.75:0.05:0.75]; % y-cordinate
[X,Y] = meshgrid(x,y); % create a mesh of x and y cordinates
for i=1:length(X)
for j=1:length(Y)
x=X(i,j); y=Y(i,j); % pick point x and y from mesh
  
% if x and y are bothe equals to zero, set it to a small non-zero number.
if x==0 && y==0
x=0.0001; y=0.0001; % In case case x and y have been set to 1e-4.
end
  
Z(i,j)=1/(x^2+y^2); % calculate the height given x and y
  
% if height of the building exceed 300 m
if Z(i,j)>300
Z(i,j)=300; % set the height at that point to 300 m
end
end
end

surf(X,Y,Z) % make the surface plot
title('Model for the new Kyle Field Hotel ')
xlabel('Length') % x-axis label
ylabel('Width') % y-axis label
zlabel('Height')

-------------------------------------------------------------- SCREENSHOT OF CODE

main-file.m ×1+ clear all close all clc x = .[-0.75:0.05:0.75); y = .[-0.75:0.05:0.75); (X,Y] = meshgrid (x,y); for i-1:length (X) the x-cordinate y-cordinate create a mesh of x and y cordinates for j-1:length (Y) 10 pick point x and y from mesh 12 13 - 14 % if x and y are bothe equals to zero, 3et it to a small non-zero er. x=0 .0001; y=0.0001; In Ease case x and y have been set to 1e-4. end 16 17 18 19 20 21 % calculate the height given x and % if height of the building exceed 300 m if Z (i, j) 300 Z (i,j)300: set the height at that point to 300 m end end end 25 26 27 surf (X, Y, Z) title('Hodel for the new Kyle Field Hotel') xlabel ('Length') % x-axis label ylabel ('Width') y-axis label zlabel ('Height make the surface plot 29- 30

-------------------------------------------------------------------------SAMPLE OUTPUT

Model for the new Kyle Field Hotel 300 250 200 150 100 50 0.8 0.6 0.4 0.2 0.8 0.6 0.4 -0.2 0.2 0.4 -0.2 0.6 04 Width 0.6 0.8 0.8 Length