Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts
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07-12-2022, 12:29 AM
Post: #12
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RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts
From:
\(f(x) = 5 \left[\frac{1}{\sin(x)} + \frac{2}{\cos(x)} \right]\) We get: \(f'(x) = 5 \left[ - \frac{\cos(x)}{\sin^2(x)} + \frac{2 \sin(x)}{\cos^2(x)} \right] = 0\) Or then after rearranging: \(\tan^3(x) = \frac{1}{2}\) This leads to: \( \begin{align*} x &= \tan^{-1}\left(\frac{1}{\sqrt[3]{2}}\right) \\ \\ &\approx 0.670888 \\ &\approx 38.4390^\circ \\ \end{align*} \) Can the Prime give the exact result as well? |
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