Explanation Given: Triangular domain bounded by coordinate axes y = 3 − x and mass density δ ( x , y ) = y Key Concept and Formula Used: I x = ∬ D y 2 δ ( x , y ) d y d x , I y = ∬ D x 2 δ ( x , y ) d y d x & I 0 = I x + I y Calculation: I x = ∬ D y 2 δ ( x , y ) d y d x The limit of x is from 0 to 3(0=3 − x or x = 3 ) and that of y from 0 to 3 − x . Therefore, I x = ∬ D y 2 δ ( x , y ) d y d x = ∫ 0 3 ∫ 0 3 − x y 3 d y d x = ∫ 0 3 [ y 4 4 ] 0 3 − x d x = 1 4 ∫ 0 3 [ ( 3 − x ) 4 − 0 ] d x = 1 4 ∫ 0 3 ( 3 − x ) 4 d x = 1 4 [ − ( 3 − x ) 5 5 ] 0 3 = − 1 20 [ − 243 >&#x...

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Question

Chapter 16.5, Problem 38E

To determine

The value of $I_{0}$ .

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Chapter 16.5, Problem 37E

Chapter 16.5, Problem 39E

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Chapter 16 Solutions

EBK CALCULUS

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The value of I 0 .

Solution Summary: The author explains how to determine the value of I 0 by calculating the triangular domain bounded by coordinate axes and mass density.

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The value of $I_{0}$ .

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Chapter 16 Solutions

The value of I 0 .

Solution Summary: The author explains how to determine the value of I 0 by calculating the triangular domain bounded by coordinate axes and mass density.

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The value of I0.

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Chapter 16 Solutions

The value of $I_{0}$ .