Find a parametric representation of the surface from to .

Question

Find a parametric representation of the surface  from  to  .

Quizplus · Accepted Answer

The given surface is a portion of a cylinder and can be represented by the parametric equations:
x = 2cos(t)
y = 2sin(t)
z = u
where t varies from 0 to 2π and u varies from the z-coordinate of the first point (eeef) to the z-coordinate of the second point (eef0). 
Substituting the z-coordinates, we get u = -0.756 and u = -0.754, respectively. 
Taking these values of u, we get the points:
(1.998, 0, -0.756) and (1.999, 0, -0.754)
which match the coordinates in Choice D.

Find a Parametric Representation of the Surface from