# Find the parameterization of the surface area given by #z = x^2 - 2x + y^2#?

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A possible parameterization is # **r**(p, q) = (1 + p * cos(q), p sin(q), p^2 - 1)# , but why?

A possible parameterization is

Looking at your suggested parameterization, rather than actually finding one:

So that seems to work

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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