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📅 March 9, 2026 👤 scraface

Mar 09, 2026

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🔥 Popular Posts

To minimize \( P(x) \), take the derivative:
P'(x) = -\frac{5000}{x^2} + 0 - 0.5 = -\frac{5000}{x^2} - 0.5
Set \( P'(x) = 0 \):
-\frac{5000}{x^2} - 0.5 = 0 \Rightarrow \frac{5000}{x^2} = -0.5
This yields a negative right-hand side, which is impossible. But note:...
P'(x) = -\frac{5000}{x^2} - 0.5
This is always negative, meaning \( P(x) \) is decreasing? But that ca...
Actually,
P(x) = \frac{5000}{x} + 120 - 0.5x
P'(x) = -\frac{5000}{x^2} - 0.5 \quad \text{— still negative?}

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Eine Kugel hat ein Volumen von 288π cm³. Was ist ihr Radius?
Die Volumenformel für eine Kugel lautet \( V = \frac{4}{3}\pi r^3 \).
288\pi = \frac{4}{3}\pi r^3
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= \frac{4}{3}r^3
r = \
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