Let L1, L2 are regular and L3, L4 are context free grammar. Whether the following is true or false. For each, prove your answer. (You can use counter example if
necessary)
a) L1 ∪ L2 is regular.
b) L1 ∩ L2 is regular.
c) L3 ∪ L4 is context free.
d) L3 ∩ L4 is context free

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.

Asteam is contained in a rigid tank with a volume of 1 m3. initially, the pressure and temperature are 7 bar and 500 oc, respectively. the temperature drops due to cooling process. determine: (1) the temperature at which condensation begins in °c, (2) the fraction of the total mass that has condensed when the pressure decreased to 0.5 bar. (3) the volume in m3 occupied by saturated liquid at the final state?

What are the major differences between injection molding and extrusion?