1. A particle is described by the following wavefunction: a) Determine the normalization constant A in terms of a and B. [2 marks] b) What is the probability to find the particle between X = 0 and X = [1 mark] c) Now consider a wavefunction that is given by the superposition: Y(x) = 1 (x) = Ae(|x|+i) 2 : (2x)- (Ae (Ae-(alxl+iB) + Ae-(alx|+12)), Where A is the same value you found in part (a). Find an expression for (x)| as a function of a and B. Simplify your expression as much as possible. Because this quantity must be real your function should not include any i terms. Hint: Use Euler's formula. [2 marks]