- Suppose We Want To Compute The Line Integrar Fi F Dr Where F Cos X Y I X 2 Sin X Y J And C Is The Boundary Of 1 (39.06 KiB) Viewed 53 times
Suppose we want to compute the line integrar fi F. dr where F=(-+ cos(x)y?)i + (x + 2 sin(x)y)j and C is the boundary of the box (-1,1] x [-1, 1) in an anticlockwise direction. A possible strategy for completing this question is to . calculate the flux of F over the square. use polar coordinates to simplify the integral. use the fact that Fis a conservative vector field to simplify the problem. use V.F=0 to simplify the integral. try something other than the above. Finish attempt...
Let F be a vector field. Suppose that r(t) is a parameterisation of the curve C, with r(0) = A and r(1) = B. We consider the line integral SEF dr F. dr F dr dt. dt The value of this integral depends on F and.... ► and q(s) is a parameterisation of a curve C2 with q(0) = A and on the end points of the curve, A and B on both the curve and the parameterisation on the parameterisation on the curve none of the other choices apply dq dr dt dt |_ ds... ds
Let F be a vector field. Suppose that r(t) is a parameterisation of the curve C, with r(0) = A and r(1) = B. We consider the line integral [v-dr = F dr dt dt. . The value of this integral depends on F and.... Now suppose that F, r(t), and C are as above, and q(8) is a parameterisation of a curve C2 with (O) = A and q(S) = B. Then da F dr dt dt F ds... ds if Fis a conservative vector field if both curves are closed, with A equal to B always never none of the other choices apply Next page