Problems marked with (P) are to be done using a computer program. Problems not so designated can be solved by either hand, computer program, or spreadsheet. Exercise 1 (P) (40 points) (Problem 6.10 in Chapra and Canale, 8th edition, modified) Determine the lowest positive root of () = 8()^ 1:

(A) Use the graphical method and identify the two integers closest to the root on both sides. Apply the two integers identified from the graphical method as the two initial guesses with tolerance = 107:

(B) Use the bisection method.

(C) Use the false-position method.

(D) Use the Newton-Raphson method with an initial guess of one of the two identified integers.

(E) Use the secant method.

For (B) to (E), print iteration number, root estimates, and approximation percent relative errors for each iteration.

SOLVE USING PYTHON