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For what position of the point (x, y) is the sum of the distance from (x, y) to the x-axis and twice the distance from (x, y) to the point (0, 1) a minimum?

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For what position of the point (x, y) is the sum of the distance from (x, y) to the x-axis and twice the distance from (x, y) to the point (0, 1) a minimum?

From Advanced Calculus, Taylor & Mann(1972), p.144

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The position of the point (x, y) for which the sum of the distance from (x, y) to the x-axis and twice the distance from (x, y) to the point (0, 1) a minimum is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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