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(Solved): Use Stokes' Theorem to evaluate the integral_C F*dr where F(x,y,z)=<7x+y^2,3y+z^2,4z+x^2> and ...



Use Stokes' Theorem to evaluate the integral_C F*dr where F(x,y,z)=<7x+y^2,3y+z^2,4z+x^2> and C is the triangle with verticies (1,0,0), (0,1,0) and (0,0,1) oriented counerclockwise as viewed from above. Since the triangle is oriented counterclockwise as viewed from aboe the surface we attach to the triangle is oriented upwards. curl F= The easiest surface to attach to this curve is the interior of the triangle. Using this surface in Stokes' Theorem evaluate the following. ∫_c F*dr= where y1= y2= x1= x2= Evaluate ∫_C F*dr=



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