Suppose is a continuous function defined on a rectangle . (a) Write an expression for a
Chapter 15, Problem 1(choose chapter or problem)
Suppose is a continuous function defined on a rectangle . (a) Write an expression for a double Riemann sum of . If , what does the sum represent? (b) Write the definition of as a limit. (c) What is the geometric interpretation of if ? What if takes on both positive and negative values? (d) How do you evaluate ? (e) What does the Midpoint Rule for double integrals say? (f ) Write an expression for the average value of .
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