Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F-yi-zj + xk and the surface S the hemisphere x2 + y2 +22-25, y the direction of the positive y-axis 0 oriented in To verify Stokes' Theorem we will compute the expression on each side. First compute curl F - dS The surface S can be parametrized by S(s, 1) - (5 cos(t) sin(s), S2 curl F dS- dt ds where curl F dS - Now compute /F dr The boundary curve C of the surface S can be parametrized by: r(t) - (5 cos(t), (Use the most natural parametrization) 2Ï dt 0 F -dr-
Show transcribed image textHelp Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F-yi-zj + xk and the surface S the hemisphere x2 + y2 +22-25, y the direction of the positive y-axis 0 oriented in To verify Stokes' Theorem we will compute the expression on each side. First compute curl F - dS The surface S can be parametrized by S(s, 1) - (5 cos(t) sin(s), S2 curl F dS- dt ds where curl F dS - Now compute /F dr The boundary curve C of the surface S can be parametrized by: r(t) - (5 cos(t), (Use the most natural parametrization) 2Ï dt 0 F -dr-