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the tonight show starring johnny carson - IQnection

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 ight) < 0 \), \( x = rac{1}{2} \) is a local maximum.

📌 For \( x = 1 \):

📌 \[ f''(1) = 24(1) - 18 = 6. \]

📌 Since \( f''(1) > 0 \), \( x = 1 \) is a local minimum.

📌 Thus, the x-coordinate of the local maximum is \(oxed{rac{1}{2}}\).

📌 A chemistry education coordinator is designing an exhibit where the concentration \( C(t) \) of a reactant over time \( t \) is modeled by the equation \( C(t) = 3e^{-2t} + 2 \). Determine the time \( t \) when the concentration first drops below 2.5.

📌 We need to solve for \( t \) in the inequality:

📌 \[ 3e^{-2t} + 2 < 2.5. \]

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