Suppose we know that the functions r and s are are everywhere differentiable and that r(0)=0. suppose we also know that for 0 ≤ x ≤ 2, the area between the x-axis and the non negative functions h(x)=s(x)dr/dx is 5, and that on the same interval, the area between the x-axis and the non negative function k(x2 = r(x)ds/dx is 10. determine r(2)s(2).

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.