Could someone please help me with this math problem?
The question gives me this hill function: y= Ax^n/(k^n+x^n)
The question is as so: For what positive value(s) of x does y achieve half its value at the horizontal asymptote?
- Anonymous1 month agoFavorite Answer
I'll assume n>1.
For large values of x, k^n becomes negligible compared to x^n and we get:
y = Ax^n/x^n = A
So y=A is the horizontal asymptote.
When y = A/2:
k^n+x^n = 2x^n
k^n = x^n
x = k