Learning How to Use the Prime G2  Hallway Pole Problem  In Three Parts

09042019, 12:53 AM
(This post was last modified: 09042019 01:13 PM by Albert Chan.)
Post: #6




RE: Learning How to Use the Prime G2  Hallway Pole Problem  In Three Parts
(09022019 11:32 PM)jlind Wrote: Nice post. To minimize c, you just need to minimize c^2 (Actually, it does not matter. c' = (c^2)' / (2c)) \(\large (c^2)'= 2(x+5) + 2(10+ {50 \over x})({50 \over x^2}) = 2(x+5)  {1000(x+5) \over x^3} = { 2(x+5) (x^3500) \over x^3} \) \(\large (c^2)'=0 → x = 5 \sqrt[3]4 ≈ 7.93701 \) \(\large \min(c) = 5(1+ \sqrt[3]4)^{3/2} ≈ 20.80969 \) 

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