A particle is trapped in a 1-dimensional box along the y-axis between y=0 and y=5. The potential energy, V(y) of the box is zero for 0y5 and everywhere else. A wavefunction the form Y(y)=Acos(y+2)+Bsin(y+2), where A and B are constants, is suitable but needs to be refined. a. Assume that Y(y)=0 when y0. Apply the boundary conditions to this wavefunction to produce a better wavefunction. Be sure to show all work. b. Normalize your refined wavefunction from part a on the interval between y=0 and y=5. Be sure to show all your work