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Problem 69

A point $ P $ needs to be located somewhere on the line $ AD $ so that the total length $ L $ of cables linking $ P $ to the points $ A $, $ B $, and $ C $ is minimized (see the figure). Express $ L $ as a function of $ x = | AP | $ and use graphs of $ L $ and $ dL/dx $ to estimate the minimum value of $ L $.

Answer

$$9.35 \mathrm{m}$$

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## Discussion

## Video Transcript

we're trying to figure out the minimum value. Al. It's the first thing is remember, the Pythagorean theorem is a squared plus B squared equals C squared. Well. In this context, we know this could help us find the driven of opium. Axe is one plus X minus five over squared of X squared minus 10 acts lost 29 plus X minus five over squared of X squared minus 10 acts plus 34. The minimum value has reached it approximately 9.35 meters. See, this is approximately 3.59

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