a) Sketch by hand, a cylinder z2 + y2 = 4 of a given height 0 x h b) Parametrize the side surface of the cylinder and find a pointing outwards normal vector N to this surface. c) Estimate the area of the side surface of the cylinder lying above the z = 0 plane d) Estimate the total flux of the vector field v = 2i through the total surface of the cylinder (including the area of each end plus the area of the side). Sketch the vector field v at the position (0,0). Need to show work for each step.

Please look at the pictures attached.
 
http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx

http://tutorial.math.lamar.edu/Classes/CalcIII/SurfIntVectorField.aspx