Write the expressions for the wavefunctions and sketch the wavefunctions for the n = 1, n = 2, and n = 3 solutions to the particle in a one dimensional box. do this as we did in class, with the wavefunctions being sketched within the potential ii.) do the same for the \upsilon= 0, \upsilon= 1 and \upsilon= 2 solutions to the harmonic oscillator with mass, m, and spring constant, k. iii.) write the corresponding energy levels for each state of both types. iv.) use your pencil to shade the classically forbidden regions of the wavefunctions. v.) write the explicit normalization constants. express your wavefunctions in terms of the variable x rather than the dimensionless variable y.