Explanation Let there be a continuous function f ( x , y ) on R = [ a , b ] × [ c , d ] , then the below integrals are referred to as iterated integrals. ∬ R f ( x , y ) d A = ∫ a b ∫ c d f ( x , y ) d y d x = ∫ c d ∫ a b f ( x , y ) d x d y The double integral gives the volume of the box having base as R and height as 4. Given: The function is ∬ R - 5 d A and rectangle is given as R = [ 2 , 5 ] × [ 4 , 7 ] Formula: Length and Breadth of rectangle is given as Length, l = Δ x = x 2 − x 1 Breadth, b = Δ y = y 2 − y 1 Area of rectangle is given as Δ A = Δ x Δ y Calculation: The double integration is given as ∬ R - 5 d A = ( − 5 ) ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 16.1, Problem 10E

To determine

Evaluate the $\iint_{R} - 5 d A$ , where $R = [2, 5] \times [4, 7]$

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Chapter 16.1, Problem 9E

Chapter 16.1, Problem 11E

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Chapter 16 Solutions

Calculus - Standalone book

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