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how do you figure out force - Malaeb

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 E'(t) = \frac{d}{dt}(-t^3 + 9t^2 - 24t + 20) = -3t^2 + 18t - 24

📌 Set \( E'(t) = 0 \) to find critical points:

📌 -3t^2 + 18t - 24 = 0

📌 Divide through by \(-3\):

📌 t^2 - 6t + 8 = 0

📌 So, \( t = 2 \) or \( t = 4 \).

📌 Thus, the times when the rate of change of efficiency is zero are \(\boxed{2}\) and \(\boxed{4}\) hours after sunrise.

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