Question

[Calculus 3; Engineering Calculus] Can someone help me with the following surface integral? Thanks!

Answer 1

Evaluate the surface integral
\[\int\limits_{ }^{ }\int\limits_{S}^{ }(x^2+y^2+5z^2)dS\]
where S is the part of the cone
\[z=6-\sqrt{x^2+y^2}\]
above the plane
\[z=0\]