A particle moving in one dimension (the x-axis) is described by the wave function

?(x)={Ae?bx, Aebx, forx?0forx<0

where b = 2.00 m?1, A> 0, and the +x-axis points toward the right.

Part A

Determine A so that the wave function is normalized.

Part B

Sketch the graph of the wave function. Plot the points for increments of ?x = 0.2 m.

Part C

Find the probability of finding this particle in each of the following regions: within 60.0 cm of the origin.

Part D

Find the probability of finding this particle in each of the following regions: on the left side of the origin (can you first guess the answer by looking at the graph of the wave function?).

Part E

Find the probability of finding this particle in each of the following regions: between x = 0.600 m and x = 1.15 m .