Evaluate the surface integral syds where S is helicoid with vector equation r(u,v)=, 0≤u≤1, 0≤VST Ver
Posted: Wed May 04, 2022 10:11 am
Evaluate the surface integral syds where S is helicoid with vector equation r(u,v)=<u cos v,u sin v,v>, 0≤u≤1, 0≤VST Verify that Stoke's Theorem is true for given verctor field F and surface S (a) F=<-y,x,-2>, and S is the cone z²=x²+y², 0≤z≤4 oriented downward (b) F=<y,z,x>, and S is the hemisphere x² + y² +2²=0, y ≥ 0 oriented in the direction of the positive y-axis.