Due: Friday, February 15, 2019
Points: 100
Please enter a nonnegative integer: 2↵
Please enter a nonnegative integer: 5↵
13
Please enter a nonnegative integer: controlD
To type controlD, 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 8.881784197001252e16
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+5x3 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: controlD↵
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 