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Home » We know that \(S = 54\pi\), so: - 500apps

We know that \(S = 54\pi\), so: - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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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, \(a_{10} = 350 - 288 = 62\).
#### 621. A scientist has a solution containing 5 grams of salt dissol...
Initial salt = 5 grams, water = 95 grams, total initial solution = 5 +...
Added salt = 10 grams, added water = 15 grams, new salt = 5 + 10 = 15...
New total solution = 15 + 110 = 125 grams.

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