Evaluate the surface integral syds where S is helicoid with vector equation r(u,v)=, 0≤u≤1, 0≤VST Ver

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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 Ver 1 (25.26 KiB) Viewed 18 times

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.