Question: Give parameterizations x ( s , t ) , y ( s , t ) , z ( s , t ) , s ,

Give parameterizations x(s,t),y(s,t),z(s,t),s,t, for the surfaces:

  1. A sphere of radius 2
  2. An ellipsoid whose three axes go from (2,0,0) to (2,0,0), from (0,1,0) to (0,1,0), and from (0,0,3) to (0,0,3).
  3. A cylinder y2+z2=9 between x=0 and x=5.
  4. A surface obtained by rotating the curve in the (x,z) plane x=1z2 for 1z1 about the z-axis.

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