The derivative of the function f(x) = 3(x-2)^2 + 2 is 6(x-2). The equation of the tangent line to f(x) when x is 4 is y = 18 + 6(x - 4). Given the functions f(x) = 3(x-2)^2 + 2 and g(x) = sqrt(x), the points of intersection between their tangent lines at x=2 and x=5 determine the centers of three circles with radius 5.