Consider the surface (x, y) = x + y (see figure) and the surface area of f over each region R. Without integrating, order the

Consider the surface ƒ(x, y) = x² + y² (see figure) and the surface area of f over each region R. Without integrating, order the surface areas from least to greatest. Explain.

(a) R: rectangle with vertices (0, 0), (2, 0), (2, 2), (0, 2)

(b) R: triangle with vertices (0, 0), (2, 0), (0, 2)

(c) R = {(x, y): x² + y² ≤ 4, first quadrant only}

-2 X N 2 2