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Home » But in math problems, we often keep as fraction or decimal. - AMAZONAWS

But in math problems, we often keep as fraction or decimal. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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\[ \text{正方形の面積} = \text{辺}^2 = 10^2 = 100 \text{平方単位} \]
内接円の直径は正方形の一辺に等しいため、半径 \(r\) は：
\[ r = \frac{10}{2} = 5 \text{単位} \]
\[ \text{円の面積} = \pi r^2 = \pi \times 5^2 = 25\pi \text{平方単位}...
\[ 100 - 25\pi \]
#### \(100 - 25\pi\)
等比数列の初項が3で公比が2です。最初の6項の和は？
初項 \(a = 3\)、公比 \(r = 2\) です。
初項から \(n\) 項までの等比数列の和の公式は：
最初の6項について (\(n = 6\))：

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e 2\). Simplify and find \(\lim_{x o 2} f(x)\).
Factor numerator: \(x^2 - 4 = (x - 2)(x + 2)\), so \(f(x) = rac{(x -...
Thus, \(\lim_{x o 2} f(x) = 2 + 2 = 4\).
Find the derivative of \(f(x) = \ln(x^2 + 1)\) at \(x = 1\).
Use chain rule: \(f'(x) = rac{1}{x^2 + 1} \cdot 2x = rac{2x}{x^2 + 1...
At \(x = 1\): \(f'(1) = rac{2(1)}{1 + 1} = rac{2}{2} = 1\).
The sum of the first \(n\) terms of an arithmetic sequence is \(S_n =...
The \(n\)th term is \(a_n = S_n - S_{n-1}\).
Compute \(S_{10} = 3(10)^2 + 5(10) = 300 + 50 = 350\).
So, \(a_{10} = 350 - 288 = 62\).

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