Q6 Let S be the unit square: S = {(x,y) : 0

Let S be the unit square: S = {(r,y) : 1,0SyS 1) we approximate r dA by n prisms whose bases are rectangles of length 1 in the x%direction and width in the y-direction. How cou ld you pick test points in each rectangle to ensure that the value of this approximation is O. no matter what n is? How cou ld you pick test points in each rectangle to ensure that the value of this approximation is 1, no matter what n is? Does the fact that both of these approximations are possible no matter how many rectangles we use mean that x dA does not exist? Explain.