Hello all,
We know that for some well-behaved, smooth/continuous, twice differentiable function of x, f[x] there exists at each point a slope (f ' [x]) and a radius of curvature
\rho [x]=\frac{\left(1+f'[x]^2\right)^{\frac{3}{2}}}{f\text{''}[x]}
It also seems intuitive to think that at...
Sorry, latex is being weird.
I'm currently trying to come up with a way to find an equation that satisfies:
s=\int_a^b \sqrt{(f'[x])^2+1} \, dx
Which is arc length
and
G=\int_a^b f[x] \, dx
which is area under the curve
where A and s are known values, and f[a]=A, f[b]=B...