00:01
All right, we've got a question here.
00:01
We want to evaluate the double integral s curl of f.
00:05
Dot d of s.
00:06
And we have our f given with our i, j, and kval.
00:13
Excuse me, we have this s as a hemisphere.
00:16
X squared plus y squared plus z squared equals 16, where y is greater than an equal to.
00:20
All right, so the objective is to evaluate that integral, double integral s curl of the dot product curl f of d of f.
00:34
We know that this can actually be rewritten as a integral of c with the domain c of f.
00:47
All right.
00:48
So what we're going to do is take our r, which will be, you evaluate your, from the surface, we can find that our r will be 4 sine t .i...