Question: How do you find the length of a smooth parametrized curve x = (t), y = g(t), a t b? What does smoothness

How do you find the length of a smooth parametrized curve x = ƒ(t), y = g(t), a ≤ t ≤ b? What does smoothness have to do with length? What else do you need to know about the parametrization in order to find the curve’s length? Give examples.

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