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16.1 The Definite Integral of a Function of Two Variables. Consider . z = f (x, y) continuous on a bounded region . R. on the . x-y. plane. If we divide . R. into . n. sub-regions. R. 1 …R. n. of areas ∆ A 1 … ∆ A n . respectively, with each sub region R. k. containing the point . P. k (x. k, y. k), lim n→∞ ∑ k=1 n f( x k , … ................
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