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CalcVR Supplemental Materials

Worksheet Practice Graphs with Cylindrical Coordinates

1.
In each of the following cases, the cylindrical coordinates (r,θ,z) of a point in space are given. Draw the point P in three-dimensional space by identifying the angle θ and the distance r in your drawing.
  1. (2,π3,4)
  2. (1,π,1)
2.
In each of the following cases draw the region of three-dimensional space that is described by the given description in cylindrical coordinates.
  1. r=1 (include a written description as well)
  2. θ=π2 (include a written description as well)
  3. 0r2, 0θπ2
  4. 0r2, z=4
  5. 0θπ2, 0z
  6. 2r3, π2θπ, 0z1