In my vector calculus class, we were given some homework, but I'm having trouble remembering how to solve problems like this:

In my vector calculus class, we were given some homework, but I'm having trouble remembering how to solve problems like this:

Let H be the hemisphere x&2+y^2+z^2=50, z(greater than or equal to) 0, and supposed f is a continuous function with f(3,4,5)=7, f(3,-4,5)=8, f(-3,4,5)=9, and f(-3,-4,5)=12. By dividing H into four patches, estimate the value of (double integral sub H) f(x,y,z)dS.