Question

how we get to know what limits we have to put in surface integrals

Answer 1

It depends on what you're integrating with respect to. remember that with surface area integrals, you need to find the arclenth, then rotate that length about an axis. pay attention to what bounds of integration make sense for what you're solving for.

Answer 2

\[\int\limits_{?}^{?}\int\limits_{?}^{?}A.n.ds where A=zi +xj-3y^2zk and s is the surface of cylinder x^2+y^2=16 including \in first octant \in \between z=0 and z=5\]

Answer 3

can you solve this?

Answer 4

start with ds=root( 1 + (dy/dx)^2)
It looks like it wants you to use generic bounds from the equation.