14-440-127-Fall2010+REC02+Solutions

14-440-127-Fall2010+REC02+Solutions - Introduction to...

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Unformatted text preview: Introduction to Computers for Engineers Recitation 2 - Problems Solutions 1) Write Matlab code that displays “You must go to study right away” if the variable TVTime equals 1. if(TVtime==1) disp('You must go to bed!') end 2) Create a row vector containing the even numbers 2 through 18, a column vector containing 1,5,9,…,25,29, and a 3*3 matrix A full of zeros . v1 = 2:2:18; v2 = transpose(1:4:29); A = zeros(3); 3) Create a 3 x 4 matrix in which all the elements have a value of pi. Then, change all elements in the 2nd row to-pi. Finally, display the sine of each value in the matrix. z = ones(3,4) * pi; [r c] = size(z); %% this is the more general way of doing this problem: z(2,:) = -pi * ones(1,c); sin(z) 4) Evaluate the following Matlab Expressions by hand. Verify in Matlab: a. 2 + round(6/9 + 3*2)/2 - 3 2+round(6.6666)/2 – 3 2+7/2 – 3 2.5 b. 3^2+ceil(6/9+3)/2 – 3 3^2+ceil(3.6666)/2 – 3 9 + 4/2 – 3 8 c. 3^2+floor(6/9+3)/2 -3 3^2+floor(3.6666)/2 – 3 9 + 3/2 – 3 7.5 d. 3^2+fix(6/9+3)/2 -3 3^2+fix(3.6666)/2 – 3 9 + 3/2 – 3 7.5 5) Ask the user to input a number, and then display whether that number is odd or even. %%% note that when you divide even numbers by 2, the remainder is 0 x = input('enter a number'); if(rem(x,2)==0) disp('even') else disp('odd') end %%% a better solution that incorporates error checks and tricks: x = input('enter a number'); if(fix(x)~=x) %%% if you eliminate the decimal point and it no longer equals %%% x, then you have a number that is not an integer disp('error- not an integer') elseif(rem(x,2)) %%% if nonzero, meaning there's a remainder, this is true disp('odd') else disp('even') end 6) Create a variable x and assign it some value. Write an if statement that displays the square root of x if x is 0 or greater, and displays “X is negative” otherwise. x = 15; %%%% or whatever number you picked if(x>=0) disp(sqrt(x)) %%% note, no quotes because you want the value else disp('x is negative') end 7) Assign the variable x to be some number. Write an if statement that displays whether or not x is an integer. (hint for one approach: try comparing x with the result of rounding x .) x = 15.6; %%%% or whatever number you picked if(fix(x)==x) disp('x is an integer') else disp('x is not an integer. booyah.') end 8) Use Matlab to compute the following, given that x = 2.7: e^x + x^(1/2)sin(x)cos(x) x = 2.7; exp(x) + x^.5 * sin(x) * cos(x) if(rem(x,2)==0) disp('even') else disp('odd') end %%% a better solution that incorporates error checks and tricks: x = input('enter a number'); if(fix(x)~=x) %%% if you eliminate the decimal point and it no longer equals %%% x, then you have a number that is not an integer disp('error- not an integer') elseif(rem(x,2)) %%% if nonzero, meaning there's a remainder, this is true disp('odd') else disp('even') end 6) Create a variable x and assign it some value. Write an if statement that displays the square root of x if...
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14-440-127-Fall2010+REC02+Solutions - Introduction to...

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