16. Find the length of the loop of the given curve. x = 6t − 2^t3, y = 6t^2

Question

I'm still a bit confused on how to set this up without an interval. Also, by loop does it mean circle?

Answer 1

If you haven't done so already, you need to look at a graph.

I would guess that what is wanted is the length of the arc from the origin to the point (0,18).

To get that length you need to use the integral for arc length and integrate from 0 to 3 because

the point (0,18) occurs when t=3.

10/11/2020

I misread this problem!

The answer is basically the same except that the co-ordinates are different!.