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Home » Do You Know Austin 3:16? This 3:16 Timestamp Will Blow Your Mind Forever! - Abu Waleed Tea

Do You Know Austin 3:16? This 3:16 Timestamp Will Blow Your Mind Forever! - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Thus, the sum is \(\boxed{\frac{50}{51}}\).

📌 Question:** A renewable energy consultant is modeling the efficiency of a solar panel array with the function \( E(t) = -t^3 + 9t^2 - 24t + 20 \), where \( t \) is time in hours after sunrise. Find the time \( t \) when the rate of change of efficiency is zero.

📌 Solution:** The rate of change of efficiency is given by the derivative \( E'(t) \). Compute \( E'(t) \):

📌 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

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