In physics it is important to use mathematical approximations. demonstrate that for small angles (< 20°) the following relationship is true where α is in radians and α' is in degrees.

use a calculator to find the largest angle for which tan α may be approximated by α with an error less than 10.0%.

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?