How do I solve this question?

1 Question 1 [30 points] Assume you have a particle With energy E incident from the left on a barrier potential as shown in Figure 1 V(:1:)=0, $a V(:c):i/E;., 0xga 1/)1 $11 1/1111 x=0 x=a Figure 1: Barrier for Question 1 1.1 a[10pt] Write down the time-independent Schrodinger Equation for each of the three regions indi- cated in the form V2 at ku = 01.2 b[10pts] Write down the boundary conditions for this problem 1.3 c[5pts] If E > Vb, write down and explain which regions exhibit oscillatory (wavelike) behavior and which regions exhibit exponential behavior. Write down the form of the wavefunction in each region but do not solve for the coefcients. 1.4 d[5pts] If 0