Question

1. (10 points) Create an m-file called addup.m Use a for loop with k = 1 to 8 to sum the terms in this sequence: x(k) = 1/3 Before the loop set sumx = 0 Then add each term to sumx inside the loop. (You do not need to store the individual values of the sequence; it is sufficient to add each term to the sum.) After the loop, display sumx with either disp() or fprintf( ). Show at least 5 decimal places. Once you are done, submit your m-file to me on Canvas. 2. (10 points) Write an m-file as a function, call it ang180.m, The function should calculate ang180(a) where a is angle in degrees between-360' and +360" The function should return an angle between-180 and +180. Use this logic: ifa is greater than 180°, the function should subtract 360° from a and return the result. If a is less than -180", the function should add 360° to a and return the result. Ifa is between - 180' and +180°, the function should return a without changing it. Use if, elseif, else, end, as appropriate. Test you function for these values: al = ang180(-333) a2 = ang180(-177) a3 = ang180( 177) a4 = ang180(277) Once you are done, submit your function to me as an m-file on Canvas. 3. (10 points) Create an m-file called findtheprimes.m Use z primes(180); to get a vector of the prime numbers from 2 to 180. If you don't have MATLAB, you can use the command isprime([2:180]) on Octave to determine the primes. Use find() to find the indices (position number in the vector) of the primes between 150 and 180. Then list the primes corresponding to these indices. Use length() to determine number of primes in this range. Use either disp() with num2str() or fprintf(with %d to display a message like the following: There are nn primes between 150 and 180 where nn is the result of the length() function. Once you are done, submit your function to me as an m-file on Canvas. 4. (10 points) Create an m-file called whilevsfor.m In the m-file in comments, explain the difference between a for loop and a while loop. When would you need one over the other? In your code, create YOUR OWN examples, one using a for loop and one using a while loop and add comments to your code to explain what is happening. Put your for loop and while loop in the same m-file. Once you are done, submit your function to me as an m-file on Canvas.

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Answer 1

Hello

I am attaching all the required code here

For the last question , I have written the syntax for both the loop structures. You need to add your own comments. The basic difference between them can be found in any book or reference.

Regards

1.addup.m sumx=0; for k=1:1:8 x(k)=1/3.^k end for k=1:1:8 sumx=sumx+x(k); end disp(sumx); 2.ang180.m function f=ang180(a) if(a>180) f=a-360; elseif(a<-180) f=a+360; else f=a; end tester.m to use the function ang180 a1=ang180(-333); a2=ang180(177); a3=ang180(-177); a4=ang180(277); 3.findtheprimes.m z=primes(180); k=find(z>150 &z<180); l=length(k); fprintf('There are %d primes between 150 and 180\n',l); 4.whilevsfor.m for i=1:1:20 disp(i); end j=0; while(j<20) disp(j); j=j+1; end