# 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...

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** = 2**i** 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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Borys Shumyatskiy | Certified Educator

Please look at the pictures attached.

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