Please help me answer the following questions !

Find the area of the region bounded by the curves: The Lorenz curve y = L(x) of a country plots the proportion y = 19 - x2 of the total income of the population (y axis) that is cumulatively earned by the bottom x of the population. For y = x2 +17 instance, if the point (0.2, 0.1) is on the Lorenz curve, it means that the bottom 20% of the population earns 10% of 8 Area = the total income. The curve of perfect equality is then the line y= x. The Gini index G of a country is a number between 0 and 1 Find the area of the region bounded by the curves y = cos x that measures income inequality within a country. The closer it and y = 9 - 8 cos x between x = 0 and x = 2x. is to 0, the more equal the income distribution is. The Gini index is defined as being twice the area between the line of equality y = x and the Lorenz curve y = L(x) of a country. Area = Suppose that the Lorenz curve of a country is modeled by the function 13 7 L(X) = + x Find the area of the region between the curve x = y - 10y 20 20 and the y-axis: Find the Gini Index for this country Area = 10 G =