Question: Suppose that ((x, y) is a continuous function defined on a region R that is closed and bounded. Show that there is an ordered pair

Suppose that ((x, y) is a continuous function defined on a region R that is closed and bounded. Show that there is an ordered pair ((, b) in R such that

This result is called the Mean Value Theorem for Double Integrals. You will need the Intermediate Value Theorem.

(x, y) dA f(a, b) A(R)

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