I'm having trouble finding the lenght of the curve where

, from the origin to the the point (6,18,36). I have no idea how to approach this problem, so any help would be appreciated.

Printable View

- Mar 15th 2008, 12:21 PMlllllanother curve lenght question
I'm having trouble finding the lenght of the curve where

, from the origin to the the point (6,18,36). I have no idea how to approach this problem, so any help would be appreciated. - Mar 15th 2008, 05:41 PMTheEmptySet

So we need to find the parametric equation of the curve of intersection of the two surfaces.

lets start with

with this and equation one we get

Now we can use the 2nd equation and solve for z.

so the vector equation is

Now with that done we need to calculate the arc length.

Note that and

so we get

pulling out the 4 and factoring the numerator

It should be easy from here.

good luck.