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Home » Map of Bora Bora Polynesia: Where Every Location Unlocks a Story! - Appcentric

Map of Bora Bora Polynesia: Where Every Location Unlocks a Story! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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-\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?}
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: \( P(x) = \frac{5000}{x} + 120 - 0.5x \)

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For $ t
e -1 $, we can cancel $ t + 1 $, giving:
E(t) = t + 3 \quad ext{for } t
e -1
Now, to evaluate $ \lim_{t o -1} E(t) $, we use the simplified expres...
\lim_{t o -1} E(t) = \lim_{t o -1} (t + 3) = -1 + 3 = 2
Although $ E(t) $ is undefined at $ t = -1 $, the limit exists.
Question: An astronomer models the orbital period $ T $ of a planet ar...
Solution: First, find the constant $ k $ using the given values:
= k \cdot 4^{3/2}

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