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Home » $$ 3 = t + 1 $$ - Network4

$$ 3 = t + 1 $$ - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 ight) - 10 = 2(5 + \sqrt{7}) - 10 = 2\sqrt{7} > 0 \quad ( ext{local minimum}).

📌 For \( t = rac{5 - \sqrt{7}}{9} \):

📌 R''\left(rac{5 - \sqrt{7}}{9}

📌 ight) = 18\left(rac{5 - \sqrt{7}}{9}

📌 ight) - 10 = 2(5 - \sqrt{7}) - 10 = -2\sqrt{7} < 0 \quad ( ext{local maximum}).

📌 Thus, the revenue growth rate is maximized at \( t = rac{5 - \sqrt{7}}{9} \).

📌 oxed{rac{5 - \sqrt{7}}{9}}

📌 A pharmacologist is studying the concentration of a new Alzheimer's drug in the bloodstream, modeled by the function \( C(x) = 5x^2e^{-x} \). Determine the dosage level \( x \) that maximizes the concentration.

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