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Section 5.6 Surface Area Example (Implicit)

And finally an example. We'll figure out which \(\vec{p}\) to use and then compute the surface area via the formula for implicit surfaces.
Learning Objectives:
  1. Compute the Surface Area of a surface described implicitly
  2. Reminder: How to convert an integral to polar

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1.

In the above I did it via the implicit formula because I want an example of that, but in this case we could just as well have (and even slightly easier) treat it as an explicit formula and do that instead. So try it that way now!

2.

You can also go back to this previous example 5.4 done parametrically previously and redo it with explicit or implicit formulas