I don't know how to use LaTex or anything yet, so I'll just have to word this right.
Question: If the density of a fluid is given by
p = exp ^ -(x^2+y^2+z^2)^3/2
what is the total mass inside the unit sphere.
Since mass = integral (p dA)
where dA is the element of area
I...
I'm sorry but I don't understand. The formula listed in my previous post...
2C * sqrt(1-u^2-v^2)
is the resulting formula after having already integrated with respect to u.
You said "integrating that, with respect to u," but I need to integrate that with respect to v.
Also, if I...
if anyone could further evaluate this problem, i would greatly appreciate it. I followed the parameterization suggestion and set u=x/a, v=y/b, and w=z/c and switched the bounds on the integral. However, after integrating once I run into the problem of
2C * sqrt(1-u^2-v^2)
When I...