Identify the value of x after the third iteration for the ma

Identify the value of x after the third iteration for the maximum function f(x) = –1.5x⁶ – 2x⁴+ 12x using parabolic interpolation for the given initial conditions x₀ = 0, x₁ = 1, and x₂ = 2.

These are the options:

0.91692

0.57025

0.81243

0.97025

Solution

Solution : The value of X after the third iteration for the maximum function f(x) = –1.5x⁶ – 2x⁴+ 12x using parabolic interpolation for the given initial conditions x₀ = 0, x₁ = 1, and x₂ = 2 is 0.91692