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What Is the Minimum Vertical Distance Between the Parabolas y=x2+4y=x^{2}+4 And y=xx2y=x-x^{2}

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What is the minimum vertical distance between the parabolas y=x2+4y=x^{2}+4 and y=xx2y=x-x^{2} ?


Definitions:

Pylon

The wide entrance gateway of an Egyptian temple, characterized by its sloping walls.

Androgynous

Exhibiting characteristics or qualities of both male and female.

Akhenaton

An ancient Egyptian pharaoh of the 18th dynasty who is noted for abandoning traditional Egyptian polytheism and introducing worship centered around Aten.

Aton

The sun disk or deity in ancient Egyptian religion, representing a monotheistic form of worship under Pharaoh Akhenaten.

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