Question 1:

The function is f(x)=0. Find the x value. Compute x for the first iteration.

f(x) = ex-x +0.63200 = 0

Use the inverse quadratic interpolation and the initial guesses of xi-2=0.1, xi-1=0.4 and x=0.7

Question 2:

Use the modified Newton-Raphson methods to evaluate the multiple root, with an initial guess of xo-0.2 (True value=0.5, Stopping criterion=&stop=0.05%)

f(x) = x-3x + 2.25x - 0.5 = 0

For each iteration, evaluate absolute true percent relative error (:1%).

Carry six significant figures during computation.

The function is f(x)=0. Find the x value. Compute x for the first iteration. f(x)=exx+0.63200=0 Use the inverse quadratic interpolation and the initial guesses of xi2=0.1,xi1=0.4 and xi=0.7 Q2-(50p) Use the modified Newton-Raphson methods to evaluate the multiple root, with an initial guess of x0=0.2 (True value =0.5, Stopping criterion =stop=0.05% ) f(x)=x33x2+2.25x0.5=0 For each iteration, evaluate absolute true percent relative error (t+%)