the rate of change of a changing rate
the rate at which a changing rate changes
31st march 2010
the above is the definition of a differential equation
an example is...
the ageing process begins after a person has passed their physical peak
peoples life-spans are, on average, 75 years
over a 50 year period a persons physiology breaks down faster towards the end of their life
a persons ability to maintain, replace, and repair cells or resist invading cells and viruses reduces by 3% in the years 25 to 35 then by 7% from 35 to 45 then by 11% during the age of 45 to 55 and then by 30% from 55 to 65 and then finally it reduces to a critical 50% between the age of 65 to 75
the rate of change of this changing rate over a fifty year period when written as a fraction is...
one thirty third
as a ratio it is 1:33, 1:15, 1:9, 1:3 and 1:2