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 = 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.

Expert Answers
Borys Shumyatskiy eNotes educator| Certified Educator

Please look at the pictures attached.

 

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 2)
This image has been Flagged as inappropriate Click to unflag
Image (2 of 2)