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Area of a Rectangle Inscribed Under a Parabola
For a rectangle with upper vertices on:
$$y=a-bx^2$$
at $$x=\pm x_0$$, its area is:
$$A=2x_0(a-bx_0^2)$$
Usage
- Used to maximize the area of a rectangle inscribed in a parabola.
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Area of a Rectangle Inscribed Under a Parabola
For a rectangle with upper vertices on:
$$y=a-bx^2$$
at $$x=\pm x_0$$, its area is:
$$A=2x_0(a-bx_0^2)$$
Usage
- Used to maximize the area of a rectangle inscribed in a parabola.
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