## How do you find the surface area of the part of the circular paraboloid ##z=x^2+y^2## that lies inside the cylinder ##x^2+y^2=1##?

Question I assume the following knowledge; ask as separate question(s) if any of these are not already established: If ##z = f(x,y) = x^2 + y^2## then ##f_x’ = 2x## and ##f_y’= 2y## The Surface area over the Region defined by ##x^2+y^2 = 1##is given by ##S =int int_R sqrt(4x^2 + 4y^2 + 1) dx […]