Question

find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your calculator to estimate the integral. The part of the surface z=e^(-x^2-y^2) that lies above the disk x^2+y^2≤4

Answer 1

ok, briefly. Apply the formula:\[SA=\int\limits_{}^{}\int\limits_{}^{}\sqrt{z_{x}^2+z_{y}^2+1}dA\]Then use polar coordinates.

Answer 2

You'll end up with a single integral which can be evaluated/approximated.