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Find the work done by  EMBED Equation.3  from (0,0,1) to (1,1,1): by parametrizing the curve  EMBED Equation.3  by parametrizing the curve  EMBED Equation.3  using the scalar potential Show that  EMBED Equation.3  is conservative and find the scalar potential for:  EMBED Equation.3  Evaluate  EMBED Equation.3  over the square defined by  EMBED Equation.3  by parametrizing the curve using Greens theorem Verify the circulation form of Greens theorem on the annular ring:  EMBED Equation.3 , if:  EMBED Equation.3  Find the surface area of a hemisphere of radius R Find the flux  EMBED Equation.3  of  EMBED Equation.3  across the surface of a hemisphere of radius R Find the flux  EMBED Equation.3  of  EMBED Equation.3  through the surface of a cylinder  EMBED Equation.3  bounded by  EMBED Equation.3  and  EMBED Equation.3  by inspection. Calculate the flux  EMBED Equation.3  of  EMBED Equation.3  through the surface of the cube cut from the first octant by the planes  EMBED Equation.3 ,  EMBED Equation.3 , and  EMBED Equation.3 . Then verify your result using the divergence theorem. Use Stokes theorem to evaluate the line integral of  EMBED Equation.3  over the circle  EMBED Equation.3 : using parametrization using the disk in the xy-plane using the upper hemisphere of  EMBED Equation.3  using the surface of the paraboloid  EMBED Equation.3  14. Using Stokes theorem, evaluate the line integral  EMBED Equation.3  if  EMBED Equation.3  over the curve defined by the portion of the plane  EMBED Equation.3  in the first octant, traversed counterclockwise. - . 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