Question

Select statements that are correct. Green's Theorem calculate the circulation in R^2 which convert the line integral into a double integral over the region Din R^2 formed by the simple and closed curve C To compute the work done by a vector field in moving a particle around a simple and closed curve Cin R^2, we apply the Green's Theorem U line integral of a vector field computes the work done to move a particle along a space curve C Line integral of f(x,y) computes the area of a curvy wall bounded by the surface f(x,y) and the curve C. when the vector field is conservative, we apply the Fundamental Theorem of Line Integral compute the work done to move a particle along a space curve C

Answer 1

Ans

Correct options are as follows:

• Green's Theorem calculate the circulation in R^2 which convert the line integral into a double integral over the region D in R^2 formed by the simple and closed curve C

• To compute the work done by a vector field in moving a particle around a simple and closed curve In R^2 we apply the Green's Theorem
• line integral of a vector field computes the work done to move a particle along a space curve C
• when the vector field is conservative, we apply the Fundamental Theorem of Line Integral compute the work done to move a particle along a space curve C