I am trying to find the greatest perpendicular between a parabola and line between its intersection between $x=0$ and $x=33$:
- Equation of the line : $y=-0.0175758x$
- Equation of the parabola: $y=0.0005326x^2-0.0351515x$
Of course it is easy to find the intersection of the line and the parabola, but find this value has been impossible for me to figure out. Digging through my calculus books for a problem like this, but to avail.
Any help would be appreciated.