- Question Evaluate Ff Zk Ds Where S Is The Part Of The Sphere X Y Z H 8z Oriented Toward The Center That Lies 1 (115.73 KiB) Viewed 39 times
- Question Evaluate Ff Zk Ds Where S Is The Part Of The Sphere X Y Z H 8z Oriented Toward The Center That Lies 2 (39.3 KiB) Viewed 39 times
- Question Evaluate Ff Zk Ds Where S Is The Part Of The Sphere X Y Z H 8z Oriented Toward The Center That Lies 3 (146.63 KiB) Viewed 39 times
- Question Evaluate Ff Zk Ds Where S Is The Part Of The Sphere X Y Z H 8z Oriented Toward The Center That Lies 4 (205.06 KiB) Viewed 39 times
Question Find the value of the integral fF.Tds, where C' is the square in a plane with vertices (0, 0), (1,0), (1, 1), (0, 1), and where F = (x, y). Provide your answer below:
Question Use Green's Theorem to calculate the work done by force F on a particle that is moving counterclockwise around closed 3 path C where F(x, y) = (x² − 3y)i + (6x +5√3) j and C is the boundary of triangle with vertices (0,0), (5,0) and - X2 (0,5). Answer with a simplified fraction. Sorry, that's incorrect. Try again? 45 انت K
Question Assuming that all requirements of Stokes' theorem have been met, use Stokes' theorem to write the surface integral to calculate the circulation integral of F around the boundary of the surface S, where F(x, y, z) = x²j and S is the cylinder = x² + y² 1 bounded on the top by the plane z = y + 1 such that the top of the cylinder is open and oriented anticlockwise. The bottom of the cylinder is closed at z = 0. Select the correct answer below: c2π Off Odzdo+f² r³ cos(0)drdo 2π 1+sin(0) O S² S¹ Odzd0 + f²™ S¹ −r³ cos(0)drdė 2πT Of²f¹ Odzdo+f²f2r² cos(0)drdo 1+sin(0) .2п So Odzd0 + f²™ S¹ −2r² cos(0) drdł