Question

Use Matlab to answer the following question

4. In this example, we will try to plot a dome similar to the US Capitol dome. If we assume x andy values range between -10 m and 10 m from the center of the dome, and radius R is 7 meter, we can use sphere formula to plot the dome: We will need to reformat this equation to return z as a function of x and y, so As you know, z- cannot take negative values, so if you saved z under name z2 use the command z2( z2 <0) 0; to set negative values of z2 to zero. Now use surf(x,y,sqrt(z2)) to plot the dome. Set xlabel to 'Independence Ave SE' and ylabel to '3rd St SW' (check US Capitol on map to see why these names are selected!). (25 points) Hint:You will need eshrid for x and y, and R-71

Answer 1

Hey,

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clc;
clear all;
close all;
x=-10:0.5:10;
y=-10:0.5:10;
[X,Y]=meshgrid(x,y);
R=7;
Z2=R^2-X.^2-Y.^2;
Z2(Z2<0)=0;
Z=sqrt(Z2);
surf(X,Y,Z);
xlabel('Independence Ave SE');
ylabel('3rd St SW');

Figure 1 File Edit View nsert Iools Desktop Window Help 10 -6 -6 -8 10 10 3rd St SW Independence Ave SE O Type here to search ^ ㈦ d1) ENG 11:52 AM

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