Verify Strokes Theorem is true for F=6yzi+2yj+xk on part of paraboloid z=2-x^2-y^2 and lies above the plane z=1 oriented upwards
230 + zk and the surface S (1 point) Verify that Stokes' Theorem is true for the vector field F = 6yz the part of the paraboloid z = 2-z? that lies above the plane z = 1, oriented upwards. To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F = (6y-1)-62k curl F·dS dy dr where yi T2 curl F·dS Now compute F dr The boundary curve C of the surface S can be parametrized by: r(t) = cos (t). Use the most natural parametrization) 2m dt F-dr = If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams!
