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Home » t = rac10 \pm 2\sqrt718 = rac5 \pm \sqrt79. - Portal da AcÃºstica

t = rac10 \pm 2\sqrt718 = rac5 \pm \sqrt79. - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\[ P(0) = 2e^{0} = 2 \]
We want the smallest integer \(t\) such that:
\[ P(t) > 20 \times 2 = 40 \]
2e^{0.3t} > 40
Divide both sides by 2:
e^{0.3t} > 20
Take natural logarithm:
0.3t > \ln(20) \approx 2.9957
t > \frac{2.9957}{0.3} \approx 9.9857
The smallest integer greater than 9.9857 is \(t = 10\).

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