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Home » How to Calculate the Area of a Semicircle Like a Pro in Seconds! - 500apps

How to Calculate the Area of a Semicircle Like a Pro in Seconds! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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I(t) = t - 2 + \frac{8}{t + 2}.
As $ t \to \infty $, the term $ \frac{8}{t + 2} \to 0 $, so the slant...
\boxed{y = t - 2}
Question: A herpetologist models the population of a rare frog species...
Solution: To find the maximum of $ F(t) = \frac{100t}{t^2 + 4} $, we c...
F'(t) = \frac{(100)(t^2 + 4) - 100t(2t)}{(t^2 + 4)^2} = \frac{100(t^2...
Set $ F'(t) = 0 $:
- t^2 = 0 \Rightarrow t^2 = 4 \Rightarrow t = \pm 2.
Since $ t $ represents time (non-negative), we consider only $ t = 2 $...
For $ t < 2 $, $ 4 - t^2 > 0 \Rightarrow F'(t) > 0 $,

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