State for a differentiable we tor field F over a S

State for a differentiable we tor field F over a S boundary is a closed curve C. We want to verify this theorem, during the hemisphere x^3 + y^3 + x^3 = 2, x >0. as the surface S. Calculate the curl of the vector field F = (2y, x^2, x = y^2). Evaluate the surface integral (Delta times F), ds Finally, evaluate the line integral integral_C F dr where is the boundary of S, traversed in the anti-clockwise direction.Show transcribed image text