Explanation Given : ∫ ∫ D e x + y d A , the inequalities for domain D- 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 Calculation : Step 1: The domain D within the square 0 ≤ x , y ≤ 2 is shown in figure Step 2: We denote the unit square 0 ≤ x , y ≤ 1 and the square 0 ≤ x , y ≤ 2 by D 1 and D 2 respectively. Then D 2 is the union of D 1 and D, and these two domains do not overlap except the boundary of D 1 . Therefore, by properties of the double integral, we have ∫ ∫ D 2 e x + y d A = ∫ ∫ D 1 e x + y d A + ∫ ∫ D e x + y d A Step 3: On substituting the appropriate inequalities for domains D 1 and D 2 , we get ∫ ∫ D e x + y d A = ∫ ∫ D 2 e x + y d A −

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 16.2, Problem 37E

To determine

The sketch of the domain D where $0 \leq x \leq 2, 0 \leq y \leq 2$ and x or y is greater than 1 and the value of $\int \int_{D} e^{x + y} d A$ .

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Chapter 16.2, Problem 36E

Chapter 16.2, Problem 38E

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Chapter 16 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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The sketch of the domain D where 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 and x or y is greater than 1 and the value of ∫ ∫ D e x + y d A .

Solution Summary: The author calculates the inequalities for the domain D, where x or y is greater than 1 and the value of e

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The sketch of the domain D where $0 \leq x \leq 2, 0 \leq y \leq 2$ and x or y is greater than 1 and the value of $\int \int_{D} e^{x + y} d A$ .

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Chapter 16 Solutions

The sketch of the domain D where 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 and x or y is greater than 1 and the value of ∫ ∫ D e x + y d A .

Solution Summary: The author calculates the inequalities for the domain D, where x or y is greater than 1 and the value of e

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The sketch of the domain D where 0≤x≤2,0≤y≤2 and x or y is greater than 1 and the value of ∫∫Dex+ydA.

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Chapter 16 Solutions

The sketch of the domain D where $0 \leq x \leq 2, 0 \leq y \leq 2$ and x or y is greater than 1 and the value of $\int \int_{D} e^{x + y} d A$ .