Question: Let R represent a county in the northern part of the United States, and let f(x, y) represent the total annual snowfall at the point (x, y) in R. Give an interpretation of each of the following:

(a) \[\int_{\,R}{{}}\int{\,f\,\left( \,x,\ y\, \right)}\ dA\]

(b) \[\frac{\int_{\,R}{{}}\int{\,f\,\left( \,x,\ y\, \right)}\ dA}{\int_{\,R}{{}}\int{\,}\,dA}\]