Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumferenc
2 answers:
Answer:
Step-by-step explanation:
The formula for circumference of a circle is
where,
C represent the circumference of the circle.
r represent the radius of the circle.
It is the function f determines the circumference of the circle in cm, C C, given its radius length in cm, r.
So, the circumference of the circle is defined by the function
Therefore the required formula for function f is .
You might be interested in
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at , the equation will contain a
term.
If we start with we have a parabola, concave down, with vertex at
and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be
We have
Now we only have to fix the fact that this parabola doesn't land at , because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
- when we plug
, we have
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
