Answer true and prove, or false and disprove.

1. If A B and B is compact, then A is compact.

2. Let P, R and Q be propositions. The proposition form ~ ((P => R) => Q) is equivalent to the propositional form ~ Q (P ~ R).

3. If f is homogenous of degree k and g is homogenous of degree t then the function f (x) g (x) is a homogenous function.