Is there an equation (function rule; key) for these numbers?

Question

or one when the numbers are rounded?

X Y

1 10.25n
2 6.25n
3 4.00n
4 3.75n
5 3.50 n
6 1.80n

n=newtons

Answer 1

You wan't find any simple equation. After some slowing down at 1-5 you havs sudden speed-up at 6.

Answer 2

I'm sure someone can up with a clever function to mimic the curves from 1<_x<_5, but 6 is clearly outside of the curve. That means the function must be 3rd order or higher. (meaning X^3 is involved)

There won't be an easy way to find it without some kind of hint. Having an X and Y intercept point will help.

Answer 3

there's a sequence of mathematical purposes, the place all expressions could be differentiated into words of those purposes, however the alternative isn't authentic, you won't be able to take any function in terms of those worry-unfastened purposes and assure that that's integrated in terms of those purposes right into a finite closed sort. There isa data, even nonetheless that's an particularly severe point of maths, and that i do no longer comprehend it. you are able to evaluate confident integrals via numerical techniques, or combine capacity sequence. to illustrate exp(-x^2) has capacity sequence it rather is effectively integrable.