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Topic: Help on proof (not homework)
Replies: 6   Last Post: Mar 1, 1997 3:36 AM

 Messages: [ Previous | Next ]
 Larry Gottlob Posts: 7 Registered: 12/7/04
Help on proof (not homework)
Posted: Feb 25, 1997 1:22 PM

Can the following be proven? I do psychology for a living, not math, so
I'm relatively clueless.

There are two functions, f(t) and g(t), continuous and differentiable
everywhere (etc), such that

int (from t=x to t=x+k) of f(t)dt = int (from t=x to t=x+ak) of g(t)dt

over all x, where k and a are constants. In other words, the definite
integrals of the two functions are equal, but g(t) must always be
integrated over "a" times the range of f(t).

Can the following be proven?

df/dt = a*(dg/dt)

All responses will be gratefully acknowledged.

Thanks,

Larry

_____________________________________________________
Lawrence R. Gottlob
Box 2980
Duke University Medical Center
Durham, NC 27710
lrg@geri.duke.edu
_____________________________________________________

Date Subject Author
2/25/97 Larry Gottlob
2/25/97 Bill Rowe
2/26/97 Larry Gottlob
2/26/97 Bill Rowe
2/27/97 G. A. Edgar
2/26/97 Peter L. Montgomery
3/1/97 Ronald Bruck