Waste less time on Facebook — follow Brilliant.
×

A function problem

If \(F(x,y) = \dfrac{xy}{x^2+y^2}\) show that \(F(a,b) = F \left(1, \frac{b}{a} \right) \).

Note by Cedie Camomot
6 months, 2 weeks ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

\[F(a,b)=\dfrac{ab}{a^2+b^2} =\dfrac{\frac ba}{1+\frac{b^2}{a^2}}=F(1,\dfrac ba)\] Rishabh Cool · 6 months, 2 weeks ago

Log in to reply

@Rishabh Cool I see Cedie Camomot · 6 months, 2 weeks ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...