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siege of constantinople 1453 - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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f(a + b + c) = f(a) + f(b) + f(c) - 3f(abc)
We now know $ f(a + b) = f(a) + f(b) $ for all $ a,b $. So $ f $ is ad...
Now return to original equation (since $ f(0) = 0 $ and additivity is...
But $ f(a + b + c) = f(a) + f(b) + f(c) $, so:
So the only solution is the zero function.
Hence, only one such function exists.
Solution: First, simplify the left-hand side:
But we must consider the domain: $ x
e 1 $. Throughout, the expression is undefined at $ x = 1 $, and the i...
Therefore, the solution set is empty.

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\( A = \pi (5)^2 = 25\pi pprox 78.5 \) square cm
A stock's price increased from $50 to $65 over 5 months. What is the a...
Initial price: $50
Final price: $65
Total increase: $65 - $50 = $15
Percentage increase: ($15 / $50) * 100% = 30%
Average monthly percentage increase: 30% / 5 = 6%
A cylindrical tank with a radius of 3 meters and a height of 10 meters...
Volume of cylinder: \( V = \pi r^2 h \)
\( V = \pi (3)^2 (10) = 90\pi pprox 282.74 \) cubic meters

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