Question

Find the area of the surface given by z = f(x,y) over the region R.

R: The triangle with vertices (0,0), (2,0), and (0,2)

f(x,y) = 2x + 2y

Answer 1

Please look at my work which is attached. The answer is 6. Thank you.

Answer 2

For the surface area you need

\[\int\limits_{0}^{2}\int\limits_{0}^{2-y}\sqrt{\left(\frac{\partial f}{\partial x}\right)^2+\left(\frac{\partial f}{\partial y}\right)^2+1}\,dx\,dy\]

Answer 3

http://en.wikipedia.org/wiki/Area#General_formula

Answer 4

ok?