Let `f(x,y) = {(x,y): y^(2) le 4x,0 le x le lambda}` and `s(lambda)` is area such that `(S(lambda))/(S(4)) = (2)/(5)`. Find the value of `lambda`.

Options

A. `4((4)/(24))^(1//3)`
B. `4((2)/(25))^(1//3)`
C. `2((4)/(25))^(1//3)`
D. `2((2)/(25))^(1//3)`

Answer

A