ENGR 3343 Chapter 6: Chapter 6 Notes

Let
H = {f : R → R | f(x) = ax + b; a, b ∈ R; a > 0}.
H1 = {f : R → R | f(x) = ax; a ∈ R; a > 0}.
H2 = {f : R → R | f(x) = x + b; b ∈ R}.
(a) Prove that H1 and H2 are subgroups of H.
(b) Determine whether each is a normal subgroup of H.

Match the heat transfer process in ‘A B C’ to ‘P Q R.’

1. Conduction

2. Convection 

3. Radiation 

 P. Heat transfer from one molecule to another molecule

 Q. Heat transfer does not require a medium

 R. Heat transfer through a fluid.