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Home » At \( t = 2 \), \( C'(t) = -10/16 = -0.625 \). - Silent Sales Machine

At \( t = 2 \), \( C'(t) = -10/16 = -0.625 \). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Set \( C'(x) = 0 \) to find critical points:
e^{-x}(10x - 5x^2) = 0.
Since \( e^{-x}
eq 0 \), we solve:
10x - 5x^2 = 0 \quad \Rightarrow \quad 5x(2 - x) = 0.
Thus, \( x = 0 \) or \( x = 2 \).
To determine which value maximizes \( C(x) \), evaluate the second der...
C''(x) = rac{d}{dx}(e^{-x}(10x - 5x^2)) = e^{-x}(-10x + 5x^2) + e^{-x...
C''(x) = e^{-x}(-10x + 5x^2 + 10 - 10x) = e^{-x}(5x^2 - 20x + 10).
Evaluate \( C''(x) \) at the critical points:

📝 Recent Posts

Thus, there are 56 ways to choose 3 startups from 8.
\boxed{56}
An urban forestry researcher is analyzing tree species in a park with...
Each tree has 2 possible states: healthy or unhealthy. Since there are...
This counts all possible combinations of healthy and unhealthy statuse...
\boxed{32}
A biotech incubator hosts 6 startups. Each startup can either present...
We need to count the number of ways to choose 4 startups out of 6 to p...
\binom{6}{4} = \frac{6!}{4!(6-4)!} = \frac{6 \times 5}{2 \times 1} = 1...
Thus, there are 15 possible schedules.

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