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Home » Now substitute into the formula for \( a^3 + b^3 \): - Network4

Now substitute into the formula for \( a^3 + b^3 \): - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \[ f''(1) = 24(1) - 18 = 6. \]

📌 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:

📌 \[ 3e^{-2t} + 2 < 2.5. \]

📌 \[ 3e^{-2t} < 0.5. \]

📌 Divide both sides by 3:

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