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Home » This grows without bound, so there is no horizontal asymptote. - Crosslake

This grows without bound, so there is no horizontal asymptote. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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🔥 Popular Posts

A_{\text{operational}} = \pi \cdot 3^2 = 9\pi \text{ cm}^2
The area where the device is **not** operational is the difference:
A_{\text{non-operational}} = 36\pi - 9\pi = 27\pi \text{ cm}^2
Thus, the area is $\boxed{27\pi}$ square centimeters.
Question: An entomologist models the flight path of a pollinating inse...
Solution: First, compute the area of the triangle using Heron’s formul...
Area $A$ is:
= \sqrt{7056} = 84 \text{ m}^2
The altitude corresponding to a side is $ h = \frac{2A}{\text{side}} $...
h_{\text{longest}} = \frac{2 \cdot 84}{13} = \frac{168}{13} \approx 12...

📝 Recent Posts

Rewriting:
x = 9k - 1 \quad \text{for some } k
Substitute into the second congruence:
9k - 1 \equiv 1 \pmod{7} \Rightarrow 9k \equiv 2 \pmod{7}
Since $ 9 \equiv 2 \pmod{7} $, this becomes:
2k \equiv 2 \pmod{7} \Rightarrow k \equiv 1 \pmod{7}
So $ k = 7m + 1 $, and:
x = 9(7m + 1) - 1 = 63m + 8
We want $ x $ to be a two-digit number:
\leq 63m + 8 \leq 99 \Rightarrow 2 \leq 63m \leq 91 \Rightarrow m = 1...

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