I need to find the surface integrals for these various questions. Some I don't know where to begin, others I don't know how to continue. Help would be appreciated

Not sure about this one

I get: $\displaystyle \int \int F \cdot n dS$

$\displaystyle F = (x,y,2z)$

$\displaystyle n = \frac {2x}{\sqrt {4x^2 + 4y^2 + 1}} + \frac {2y}{\sqrt {4x^2 + 4y^2 + 1}} + \frac {1}{\sqrt {4x^2 + 4y^2 + 1}}$

$\displaystyle \int \int F \cdot n dS = \int \int 2 dA $

But not sure what the limits are to proceed

I'm guessing similar manner to question above, but do I get z on its own i.e. $\displaystyle z = 3-3x-\frac {3}{2}y$ then proceed. But once again, not sure what the limits would be

Using divF = 3 then $\displaystyle \int^1_0 \int^1_0 \int^1_0 3 dzdxdy = 3 $ Is that right?

Need to use divergence again, but not sure how to proceed.

I could do the same as below, but not sure how to proceed

I got the curl to be

**i** +

**j** +

**k** and $\displaystyle \sqrt { ( \frac {\partial f}{\partial x})^2 + ( \frac {\partial f}{\partial y})^2 + 1 } = \sqrt {3}$

Not sure how to proceed