At time t=0, a particle is represented by the wave function if 0 sxsa a (x,0) = = if a susb (b - x) A (b-a)' 0, otherwise where A, a, and b are constants, with b > a. a) Normalize Y that is, find A, in terms of a and b). b) Sketch 4(x,0), as a function of x c) Where is the particle most likely to be found, at t=0? d) Where is the probability of finding the particle to the left of a? Check your result in the limiting cases b = a and b = 2a