Question

Suppose f is a continuous function defined on a rectangle  

(a) Wride an expression for a double Riemann sum of f. If  

what does the sum represent?

(b) write the definition of as a limit

(c) What is the geometric interpretation of  

What if f takes on both positive and negative values?

(d) how do you evaluate  

(e) What does the Midpoint Rule for double integrals say?

(f) Wtite an expression for the average value of f.