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Home » \( v = 20 \, \textم/ث \) (السرعة الابتدائية)، - Esdistancia

\( v = 20 \, \textم/ث \) (السرعة الابتدائية)، - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 \( b = 0 \) or \( 2 \) → 2 choices

📌 \( c = 0 \) → 1 choice

📌 Total: \( 2 \times 2 \times 1 = 4 \) perfect square divisors.

📌 \( 2^0 \cdot 3^0 \cdot 5^0 = 1 \)

📌 \( 2^2 \cdot 3^0 \cdot 5^0 = 4 \)

📌 \( 2^0 \cdot 3^2 \cdot 5^0 = 9 \)

📌 \( 2^2 \cdot 3^2 \cdot 5^0 = 4 \cdot 9 = 36 \)

📌 Sum: \( 1 + 4 + 9 + 36 = 50 \)

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P'(x) = -\frac{5000}{x^2} - 0.5 \quad \text{— still negative?}
Wait — no, derivative of \( -0.5x \) is \( -0.5 \), derivative of \( 5...
This is always negative, meaning cost per unit decreases as \( x \) in...
Wait — cost per unit: \( P(x) = \frac{5000}{x} + 120 - 0.5x \)
But as \( x \to 0^+ \), \( 5000/x \to \infty \); as \( x \to \infty \)...
Likely a typo in interpretation. For realistic models, average cost ty...
But given: \( C(x) = 5000 + 120x - 0.5x^2 \). This implies fixed start...
But proceeding with given function.
To minimize \( P(x) = \frac{5000}{x} + 120 - 0.5x \), take derivative:
Set to zero:

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