Question

Evaluate

Answer 1

\[\int\limits \int\limits_{S}^{ } yz + 4y^2 + 2xydS \]
Where S is the portion of 4x + 8y + 2z = 26 that lies in the first octant.

Answer 2

First octant is where x, y, and z are positive?

Answer 3

Yep.

Answer 4

So the first step would be to convert it into limits of integration

Answer 5

Yeah, find the limits of D, which is some region that lies in the xy-plane.

Answer 6

If I remember correctly, the graphs should always be a region above D, that form sort of a square or triangle or something? I'll draw the graph