What curve lying above the x-axis has the property that the length of the arc joining any two points on it is proportional to the area under the arc?
Calculus 4. Area under arc.
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$\begingroup$
calculus
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0what about y = 1 – 2012-09-20
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0Any horizontal line will do. – 2012-09-20
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0How would I prove this? Or how would I explain this on a quiz? – 2012-09-20
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0You would prove it by finding the length of the arc joining two general points on the horizontal line, and finding the area under this arc, and noting the simple relation between them. – 2012-09-20