
Re: 2.36  Proof without limits or calculus.
Posted:
Jul 29, 2014 2:32 PM


On 7/29/2014 1:22 PM, John Gabriel wrote: > If f(x)=px+q, then prove that for a given interval (a,b), the average value of all the ordinates of f is: > > { f(a)+f(b) } / 2 = { pa+q+pb+q } / 2 = p(a+b)/2 + q
what do the { and } mean ?? do you mean ( and ) ?
did you make mistake ?
also you proved that f(a)+f(b) = f(a + b),
how can that be ?
> > You may NOT use limits or any of the theorems of calculus.
no need, this is simple algebra.
> > The ordinates must either be all positive or all negative.
wrong.
> > I might respond to comments on this thread or I might not.
or you will almost not respond, or sort of think about responding, but your thinking is confuseded, do you have a pet dog ? Sometimes a pet dog will take over your thinking.

