So my math teacher gave this to our high school class today.
I dont think he really expects any of us to get it, as its way beyond the course material we ahve been doing. Perhaps if someone here could solve it and explaint he math behind it i might be able to impress him? (and learn something on the way)
he gave us this:
let f be a function that satisfies the statement f(u+v)=f(u)+f(v)+1-cos(u*v) for all u,v find f(0)
teacher says:come up with creative way of writing 0
As David said above, this one is really quite a simple one. Let u = v = 0, you can get the answer immediately.
Here is a similar problem I gave to my class:
Suppose f is a function that satisfies the equation f(x+y) = f(x) + f(y) + xy + xy for all real numbers of x and y. Suppose also that lim{x->0}f(x)/x = 1 Find f(0), f'(0), and f'(x).
Interactive Math Goodies Software
Topic Locked
Posted - 10/16/2007 : 20:07:49
y + xy
