Suppose we have a uniform beam that is 60 centimetres long, and is simply supported at both ends. If the beam has a load of f(x) = 11 N/m applied to it, and has a flexural rigidity of 10,000 Nm, then: (a) (3 points) Calculate the deflection function y(x) for this beam assuming small deflections. (b) (3 points) Find the maximum (magnitude of) deflection for the beam (and where that deflection occurs).