We recognize some of you may have had minimal exposure to the dirac delta function. see giffiths sec. 1.5 for a review or introduction.) a) [6 pts] evaluate the following integrals (i) j (2x + 3)á»(z)dr (ii) jpe(x + 1)dx 2 0 b) 4 pts what are the dimensions (units) of the one-dimensional delta function 5(x)? in other words: is î´(x) unitless or does it carry the dinensã­ns ,m (meter), or some other unit?

Consider a production line with five stations. station 1 can produce a unit in 9 minutes. station 2 can produce a unit in 10 minutes. station 3 has two identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines. station 4 can produce a unit in 5 minutes. station 5 can produce a unit in 8 minutes. which station is the bottleneck station?