Suppose that is the parametrised curve given by

=

for .

- Show that is parametrised by arc length.
- Find the length of .
- Find the normal vector to (t0) at where .
- Do you recognise this curve?

I don't have a clue what any of this means, the lecturer rushed through it and I won't have a chance to see her until Tuesday and this is in for Monday. Any help is much appreciated. Thanks.