Using the Newton-Raphson method, find the positive real root of $x^3 - 2x - 5 = 0$ correct to three decimal places, taking initial guess $x_0 = 2$.

Find a positive real root of the equation $f(x) = x^3 - x - 1 = 0$ correct to 2 decimal places using the Bisection Method in the interval $[1, 2]$. Show all iterations clearly.

Derive the Newton-Raphson iteration formula and use it to find the square root $\sqrt{12}$ correct to 3 decimal places starting with initial guess $x_0 = 3.5$.