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.
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