Question

1. Employ the Newton-Raphson method to determine a real root for f(x) = x^3 + 4x^2 - 10 using an initial guess of x_0 = 5.0000. Perform the computation until \epsilon_a \leq 0.0001%. Abs Error = ((Xr_{new} - Xr_{old}) / Xr_{new})100%. Please show sample computations for the 1st 3 iterations for X variables and the last 3 iterations for the Abs error computations. 2. Use secant method to determine a root of f(x) = x^4 - x - 10 with initial guesses of x_{-1} = 1 and x_0 = 2.0. Perform the computation until \epsilon_a \leq 0.0001%. Abs Error = ((Xr_{new} - Xr_{old}) / Xr_{new})100%. Please show sample computations for the 1st 3 iterations for X variables and the last 3 iterations for the Abs error computations.

          1. Employ the Newton-Raphson method to determine a real root for
f(x) = x^3 + 4x^2 - 10
using an initial guess of x_0 = 5.0000. Perform the computation until \epsilon_a \leq 0.0001%.
Abs Error = ((Xr_{new} - Xr_{old}) / Xr_{new})*100%. Please show sample computations for the 1st 3
iterations for X variables and the last 3 iterations for the Abs error computations.
2. Use secant method to determine a root of
f(x) = x^4 - x - 10
with initial guesses of x_{-1} = 1 and x_0 = 2.0. Perform the computation until \epsilon_a \leq 0.0001%.
Abs Error = ((Xr_{new} - Xr_{old}) / Xr_{new})*100%. Please show sample computations for the 1st 3
iterations for X variables and the last 3 iterations for the Abs error computations.

1. Employ the Newton-Raphson method to determine a real root for
f(x) = x^3 + 4x^2 - 10
using an initial guess of x0 = 5.0000. Perform the computation until ≤0.0001%.
Abs Error = ((Xrnew - Xrold) / Xrnew)*100%. Please show sample computations for the 1st 3
iterations for X variables and the last 3 iterations for the Abs error computations.
2. Use secant method to determine a root of
f(x) = x^4 - x - 10
with initial guesses of x-1 = 1 and x0 = 2.0. Perform the computation until ≤0.0001%.
Abs Error = ((Xrnew - Xrold) / Xrnew)*100%. Please show sample computations for the 1st 3
iterations for X variables and the last 3 iterations for the Abs error computations.

Added by Bryan B.

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