Assignment 3 01 CLO/15.0 points (graded) This question is a compound true/false question with 5 questions. The answers to 3 of these are "true" (that is, they are solutions) and the answers to the other 2 are "false" (that is, they are not solutions). Choose only the 3 "true" ones. (Note that the grader program is not smart enough to give you any credit if you choose any number other than 3 true answers, but it will also not stop you from selecting more than 3. So, please select exactly 3 "true" answers each time you attempt this question.) (a) The functions f (3:) = 4a: 8, and 9 (cc) = $2 + 23: are orthogonal over the interval 1 S a: S 1. (b) The only wavefunctions that can exist in a potential well with infinitely high walls are the standing wave energy eigenfunctions. (c) In a finite potential well with the same heights of barrier on both sides and a uniform (i.e., constant) potential between the barriers, the lowest energy eigenstate will always have even parity (relative to the center of the well). (cl) For the n = 4 harmonic oscillator energy eigenfunction, relative to the center of the potential, its parity is even. (e) For a positive particle energy E and for a potential V that is zero everywhere, sin (k2 Et/h) is a possible solution of Schroedinger's timedependent equation