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\mathbfa \times \mathbfb = \beginvmatrix - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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We are given the population model
\[ P(t) = P_0 e^{kt}, \]
and that the population triples in 5 hours, so
\[ P(5) = 3P_0. \]
Substitute into the equation:
\[ 3P_0 = P_0 e^{5k}. \]
Divide both sides by \( P_0 \):
\[ 3 = e^{5k}. \]
\[ \ln 3 = 5k. \]
Solve for \( k \):

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