Due: Friday, February 15, 2019
Please enter a nonnegative integer: 2↵
Please enter a nonnegative integer: 5↵
Please enter a nonnegative integer: control-D
To type control-D, hold down the control key and type the D key. Nothing will appear visibly. Your program must stop if that is typed to either prompt.
Please call your program “ack.py”.
Write a function called newton(a, b, c) to do this. Your function will take three integer arguments, namely a, b, and c. It should use Newton’s method to compute the approximation to a root of the above polynomial, to 10 decimal places.
Hint: Remember, comparing floating point numbers is tricky! Rather than testing for equality of the previous guess with the new one, test that the difference between the two is 10−10.
Enter the integer coefficient of x^2: 6↵
Enter the integer coefficient of x: 11↵
Enter the integer constant term: 6↵
The approximate solution of x^3+6x^2+11x+6 is: -1.0000000000000002
The error is 8.881784197001252e-16
Your program is to read one set of coefficients and stop (that is, it should not loop and ask for another). Handle EOF and input errors properly, using try . . . except, and stopping on EOF or error.
Here is some more sample output:
Enter the integer coefficient of x^2: 0↵
Enter the integer coefficient of x: 5↵
Enter the integer constant term: -3↵
The approximate solution of x^3+5x-3 is: 0.5640997330275644
The error is 0.0
Enter the integer coefficient of x^2: hello↵
Coefficients must be integers
Enter the integer coefficient of x^2: 4↵
Enter the integer coefficient of x: control-D↵
Your output is to be formatted as above; in particular, notice the polynomial in the output is to have no 0 coefficients (that is, if the coefficient of a term is 0, that term should not be printed), and if the coefficient is negative, it is to be preceded by a “−”, not a “+−”
Please call your program “newton.py”.
You can also obtain a PDF version of this.
Version of February 6, 2019 at 12:29AM