So the formula is
My question is regarding the piecewise function.
I currently know the area of this function which is 12.8 and has a height of 8 and a base of 4. Using pythagorem theorem we get
So with that in mind I now go about finding the derivative of my function which is really just finding the first part of the equation.
Now putting back into the arc formula
Removing the 1 and putting it into the fraction gives me.
getting rid of the square root we have
If i have been correct thus far this is where things go a little bit hazzy and my answer doesn't look even remotely right.
Integrating I get approx 49.9 which is way above what I expected to get. Im expecting something close to why pythag gave me.
Maple suggests its roughly 9.6