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Can You Find the Distance Between The Point and The Curve?

Can You Find the Distance Between The Point and The Curve?

A very interesting graph problem.

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Fletcher Thompson
Mar 27, 2025
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Fletcher’s Corner
Fletcher’s Corner
Can You Find the Distance Between The Point and The Curve?
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The equation of the green curve is y = x² + 1. How close is the point (2, 1) to the curve? We’re after the shortest distance.

This is a problem I posed as an ext…

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