Assignment 1.docx

Assignment 1(Mathematical Computing) (Due April 3, 2019) 1 The pH scale ranges from 0 to 14, inclusive. A solution with a pH of 7 is said to be neutral, a solution with a pH greater than 7 is basic, and a solution with a pH less than 7 is acidic. Write a script that will prompt the user for the pH of a solution, and will print whether it is neutral, basic, or acidic. If the user enters an invalid pH, an error message will be printed. 2. If the Mach number is less than 1, the flow is subsonic; if the Mach number is equal to 1, the flow is transonic; if the Mach number is greater than 1, the flow is supersonic. Write a script that will prompt the user to enter the Mach number and output the result as subsonic, transonic or supersonic.

3. Write a function called”makemat” that will receive two row vectors as input arguments and from them create and return a matrix with two rows. You may not assume that the length of the vectors is known. Also the vectors may be of different length. If that is the case, add 0’s to the end of one vector first to make it as long as the other. For example your result will be: >> makemat(1:4, 2:7) Ans = 123400 234567 4. Write a for loop that will print the column of real number from 2.7 to 3.5 in steps of 0.2.

5. Write a function prodby3 that will receive a value of a positve integer n and will calculate and return the product of the odd integers from 1 to n (or from 1 to n -1 if n is even ). Use a for loop.

6. Write a function that will receive a matrix as an input argument, and will calculate and return the overall average of all numbers in the matrix. Use loops, not built-in functions, to calculate the average. 7. The following code was written by somebody who does not know how to use MATLAB efficiently. Rewrite this as a single statement that will accomplish exactly the same thing for a matrix variable mat. [r c] = size(mat); for i = 1: r for j = 1:c mat(i, j) = mat(i,j)*2 end end