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Home » 10 Surprising Words That End in "IR" You’ve Never Noticed Before! - DNSFLEX

10 Surprising Words That End in "IR" You’ve Never Noticed Before! - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A rare battery decays exponentially, with half-life of 8 years. If initially holding 64 Ah (amp-hours), how much charge remains after 24 years?

📌 Number of half-lives: 24 ÷ 8 = 3

📌 Remaining charge: \( 64 \times \left(\frac{1}{2}\right)^3 = 64 \times \frac{1}{8} = 8 \) Ah

📌 A triangle has side lengths 13 cm, 14 cm, and 15 cm. What is its area using Heron’s formula?

📌 Semi-perimeter: \( s = \frac{13+14+15}{2} = 21 \) cm

📌 Area: \( \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} \)

📌 \( = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056} = 84 \) cm²

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\frac{x^2}{y} = \frac{y^2}{z} \Rightarrow x^2 z = y^3, \quad \frac{y^2...
From these, we deduce a symmetry: suppose $ x = y = z $. Then $ x + y...
S = 3 \cdot \frac{(1/3)^2}{1/3} = 3 \cdot \frac{1/9}{1/3} = 3 \cdot \f...
Hence, the minimum value is achieved when $ x = y = z = \frac{1}{3} $.
Question: Define $ f(u) = u - \frac{u^4}{4} $. If $ n $ is a positive...
b_1 = 1, \quad b_{n+1} = f(b_n).
Determine the limit $ \lim_{n \to \infty} b_n $.
Solution: We are given the recurrence
b_1 = 1, \quad b_{n+1} = f(b_n), \quad \text{where } f(u) = u - \frac{...
We aim to find $ \lim_{n \to \infty} b_n $.

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