Below is a contour diagram representing a function g(x, y) over the domain. Let S be the square defined by ?2 ? x ? 2, ?2 ? y ? 2. Without knowing the explicit form of g(x, y), determine whether the integral R S g(x, y) dA is positive, negative, or zero using Riemann sums. Explain your approach and reasoning based on the contour diagram.

1. Below is a contour diagram representing a function g(x,y) over the domain. Let S be the square defined by 2