To compute the flux ∮ F → . n ^ d s of F → ( x , y ) = 〈 x 2 , y 2 〉 across the boundary of the triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) & ( 0 , 1 ) using vector form of Green’s theorem.

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Answer 1

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Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

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Answer 2

Question

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

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Answer 3

Question

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

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Answer 4

Question

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

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Answer 5

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

Answer 6

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

Answer 7

Chapter 18.1, Problem 40E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

Answer 8

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Answer 9

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Answer 11

Ch. 18.1 - Prob. 1PQ Ch. 18.1 - Prob. 2PQ Ch. 18.1 - Prob. 3PQ Ch. 18.1 - Prob. 4PQ Ch. 18.1 - Prob. 5PQ Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E

To compute the flux ∮ F → . n ^ d s of F → ( x , y ) = 〈 x 2 , y 2 〉 across the boundary of the triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) & ( 0 , 1 ) using vector form of Green’s theorem.

Solution Summary: The author calculates the flux of a vector field F ( x, y ) using the vector form of Green’s theory.

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To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 x^{2}, y^{2} 〉$ across the boundary of the triangle with vertices $(0, 0)$ , $(1, 0)$ & $(0, 1)$ using vector form of Green’s theorem.

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Chapter 18 Solutions

To compute the flux ∮ F → . n ^ d s of F → ( x , y ) = 〈 x 2 , y 2 〉 across the boundary of the triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) &amp; ( 0 , 1 ) using vector form of Green’s theorem.

Solution Summary: The author calculates the flux of a vector field F ( x, y ) using the vector form of Green’s theory.

Concept explainers

Videos