Question

Calculus Suppose you want to find zeros of the function f(x)102212 and plan to use the Newton-Raphson scheme. (a) Write down the Newton-Raphson algorithm for this. That is, write down explicitly a formula for computing your (n+1)st guess Tn+1 given your nth guess rn for a root. In other words, deter- mine the recurrence relation resulting from using this particular function f. (b) Modifying Algorithm 2.2 as required, find the values through r7 if you choose an initial value r-2 c)Run your algorithm for the values r to r with the different choice of initial condition 0.75. What happens? Can you explain why this happens for this particular function with this particular choice of rı?

algorithm 2.2

Answer 1

"Given data, f(x) = 10x^3 -9x^2 -12x + 12 a) Algorithm for Newton Raphson method. First we have to guess a root lets say x- n We have to find df/dx = f'