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What is the shortest possible length of the line segment that is cut off by...

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Calculus

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What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 5 x at some point?

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What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 5 x at some point?

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