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Active Calculus - Multivariable

Activity 9.8.12.
For each of the surfaces described below, do the following:
  1. Find a corresponding equation in spherical coordinates (involving only \(\rho\text{,}\) \(\theta\text{,}\) and \(\phi\)). You may want to consider algebraic or geometric approaches to these problems.
  2. Draw a plot of surface and label any important measurements in terms of the spherical coordinates.
  3. Write a sentence or two about the corresponding equation in spherical coordinates and any assumptions made in your work.