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- So, to find a critical point, you would use f(x) and not f'(x)?When f′(x0f′(x0) =0, then Newton-Raphson method fails.In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after before
- 4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?What is the critical point of the function g (x) = (x ^ 2/2) + x (ln (x) −1), using Newton-Raphson, with x0 = 2 and stopping criterion equal to| f (xi) | ≤ 0.01.Suppose that a consumer derives his utility from two goods, the amounts of which are x and y, according to the utility function U(x,y)=ln2x+ln5y. The consumer has income B to spend, the prices of the two goods are px and py, and B, px and py are all assumed to be exogenous. Express the income and the substitution effect in terms of good x. Is good x normal and ordinary?