To compute the flux ∮ F → . n ^ d s of F → ( x , y ) = 〈 3 x , 2 y 〉 across the circle given by x 2 + y 2 = 9 using vector form of Green’s theorem.

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Answer 1

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Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

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Answer 2

Question

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

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Answer 3

Question

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

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Answer 4

Question

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

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Answer 5

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

Answer 6

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

Answer 7

Chapter 18.1, Problem 34E

To determine

To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ using vector form of Green’s theorem.

Answer 8

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Answer 9

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Answer 10

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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. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E

To compute the flux ∮ F → . n ^ d s of F → ( x , y ) = 〈 3 x , 2 y 〉 across the circle given by x 2 + y 2 = 9 using vector form of Green’s theorem.

Solution Summary: The author calculates the flux of F ( x, y ) = 3x, 2y, across the circle enclosing region D using the vector form of Green's theory.

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To compute the flux $\oint \vec{F} . \hat{n} d s$ of $\vec{F} (x, y) = 〈 3 x, 2 y 〉$ across the circle given by $x^{2} + y^{2} = 9$ 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 ) = 〈 3 x , 2 y 〉 across the circle given by x 2 + y 2 = 9 using vector form of Green’s theorem.

Solution Summary: The author calculates the flux of F ( x, y ) = 3x, 2y, across the circle enclosing region D using the vector form of Green's theory.

Videos