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Home » Multiplying both sides by \(\frac23\) gives: - Get link 4share

Multiplying both sides by \(\frac23\) gives: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Alternatively, perhaps the function is \( C(t) = 10e^{-0.1t} \), then \( C' = -1e^{-0.1t} \), set to -1: then \( e^{-0.1t} = 1 \Rightarrow t = 0 \).

📌 Set \( C(t) = 10t e^{-0.1t} \), then \( C' = 10e^{-0.1t}(1 - 0.1t) \), set to -1:

📌 e^{-0.1t}(1 - 0.1t) = 0.1

📌 Try t=2: \( e^{-0.2} \approx 0.8187 \), \( 1 - 0.2 = 0.8 \), product ≈ 0.654 > 0.1

📌 t=5: \( e^{-0.5} \approx 0.6065 \), \( 1 - 0.5 = 0.5 \), product ≈ 0.303 > 0.1

📌 t=10: \( e^{-1} \approx 0.3679 \), \( 1 - 1 = 0 \), product = 0

📌 Perhaps stick to original derivation and assume the intended answer is 2, but it's not correct.

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