Hi everyone, new here and trying to calculate the mean curvature for the following surface:
r(u,v)=ui+f(u)cos(v)j+f(u)sin(v)k
I have been through the process of finding tangent vectors and a unit normal vector to the surface, so up to the point where I have had to substitute 6 scalars into:
h(p)=
aG-2bF-cE
2(EG-F^{2})
The only problem I seem to be having is not being able to simplify it... This is what I have:
h(p)=
± f''(u)f(u)^{2}-f'(u)^{2}-1
2f(u)(1+f'(u)^{2})√(cos^{2}(2v)f'(u)+1)
Maybe missing something really simple here or I have made a mistake in calculating the scalars.
Any help, much appreciated!
(I have reposted this in University Maths - geometry, as it's in the wrong place.. any hints on how to delete this one though?)