22 + a? a2 + 2. Consider the wave function y(x, y, z) = cos(a x) cos(b y) cos(cz), where a = 2, b = 3, and C = 5. (a) Show that y(x,y,z) is an eigenfunction of the Laplacian operator, = 2 ?" z?? and find its eigenvalue, using the values of a, b, and c. (b) Evaluate the operation of A = (x2 + km) on y(x) = sin(a x) and determine if y(x) is an eigenfunction of this operator. If it is, what is its eigenvalue if a = 1.6? If it is not, why is it not an eigenfunction