The definition of a double integral over a rectangle is m 72 f(x,y) dA= lim lim ΣΣΗ(;) Δ.Α. i=1 j=1 Explain what this definition means. That is, how does this limit compute the volume under the function f(x, y)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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1. The definition of a double integral over a rectangle is
m 72
[] f(x,y) dA = _lim_ [[ƒ(Fiz, Vij) AA.
i=1 j=1
Explain what this definition means. That is, how does this limit compute the volume under the
function f(x, y)?
Transcribed Image Text:1. The definition of a double integral over a rectangle is m 72 [] f(x,y) dA = _lim_ [[ƒ(Fiz, Vij) AA. i=1 j=1 Explain what this definition means. That is, how does this limit compute the volume under the function f(x, y)?
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