Problem 1: Loops and Conditional Statements

Try to work out what value ofx the following code returns (initially without running it). Draw a data flow chart (like the ones used in class) explaining the code.

x = 1;

if tan(73*pi*x/4) >= 0

x = 2;

else

x = pi;

end

if floor(x) ==x

x = 10;

else

x = 7;

end

if isprime(x)

x = ‘True’;

else

x = ‘False’:

end

Is this result true whichever value ofx we start with? You can find out about the command isprime by typing help isprime.

Problem 2: Code correction for MATLAB.

a.         The following code is supposed to evaluate the function

⎧ 0 x < 0

f (x) =

⎪⎩ 0 x > 2

x = linspace(-4,4);

N = length x

for j = 1;N

if x(j)>=0 and x(i)<=1

f(j) = x(j);

elseif x(j)>1 or x(i) <2

f(j) = 2 – x

else

f(j) = xero;

end

Correct the code so that it accompishes this. This can be checked by using the command plot(x,f) and comparing the figure to what you expect the function to look like.

b.        Explain, line-by-line the errors in and rewrite correctly the following code:

a = input(‘ Please entere a )

b = input(‘ Please enter b )

a = Input ‘ Please enter c ‘

v1 = a+ B+d

v2 = a/((b+c)(c+a)

v3 = a/b*c

disp(‘ a + b + c= ‘ int2str(v1)])

disp([‘v2 = ‘ num2str v2 ]

disp([‘v3 = num2str(v4) ]);