A non-conducting rod of length L = 0.5 m has a non-uniform linear charge density given by $$\lambda(x) = \lambda_0 (1 - x/L)^2$$, where $$\lambda_0 = 5.0 \times 10^{-9}$$ C/m and $$x$$ is the distance from one end. What is the magnitude of the electric field at a point on the rod’s perpendicular bisector, 3.0 m from its center?