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.

Question

Want to see the full answer?

Answer 1

Question

Chapter 18.1, Problem 38E

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Sketch some vectors in the vector field F(x, y) = −yi + xj.

A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)

The figure shows the vector field F (x,y) = {2xy,x2 } and three curves that start at (1,2) and end at (3,2). (a) Explain why∫c F. dr has the same value for all the three curves. (b) What is this common value?

Answer 2

Question

Chapter 18.1, Problem 38E

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 18.1, Problem 38E

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 18.1, Problem 38E

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 18.1, Problem 38E

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 38E

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 38E

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

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

Want to see the full answer?

Check out a sample textbook solution

See solution

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 ) = 〈 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

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.

Want to see the full answer?

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