Prove the following assertions. If is strictly monotone then also is strictly monotone. If for and some and is increasing then for . Let for some and all and for some . Then there exists an increasing function such that , where is the converse to function.
Substances desintegrate in human's organism.
The velocity of the desintegration is proportional to the mass of a substance. The half-life of the medicine is two hours. The medicine must be taken as rarely as possible. The velocity of the synthesis for is equal to the half of the velocity of the desintegration for .