Find the positive number x such that the sum of x and its reciprocal is as small

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Find the positive number x such that the sum of x and its reciprocal is as small as possible. Does this problem require optimization over an open interval or a closed interval?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 17, 2023 02:52 AM

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Find a positive number such that the sum of the number and its reciprocal is as small as possible.
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Find the positive number x such that the sum of x and its reciprocal is as small

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Let x 0 and fx x x Here we require optim...View the full answer

Calculus

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