3. Consider the following potential: x < 0 0 0 < x L A particle of mass m is bound inside this potential, with E < Vo. A. Sketch this potential and the particle's relative E. Define the three regions for which you'll have to find separate solutions. Are any of these regions similar to the cases we considered before? B. Can we use the time-independent Schrdinger Equation here? Explain. C. Find the general eigenfunctions, (x), in each region. (Hint: Look for the solutions for the similar cases you identified in Part A.) D. Enforce the boundary condition at x = O to find a relation between the constants in your solution in Region II. Use that relation to simplify your eigenfunction. Be sure to show your work! E. Enforce the finiteness of your eigenfunction at x = to simplify your eigenfunction in Region III. Explain your reasoning. F. Finally, enforce the boundary condition at x = L to find a relationship between E and Vo for the allowed energies of the system. (Hint: Take a look at p. 145 in the Liguori-Schremp textbook!)