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.
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.