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Home » \textlcm(12, 18) = \frac12 \cdot 18\gcd(12, 18) = \frac2166 = 36 - Dachbleche24

\textlcm(12, 18) = \frac12 \cdot 18\gcd(12, 18) = \frac2166 = 36 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Reframe: "What is the ratio of the drone’s kinetic energy to the boulder’s?" → since boulder has 0, ratio is undefined. But for numerical indicating, use proportion.

📌 Correct approach: KE_ratio = 100 / 0 → not computable, so instead use:

📌 DRONE KE = 100 J, BORE 0 → ratio = 100 / 0 → undefined. But in real terms, the drone has energy while boulder has none.

📌 Best: answer is the ratio is **undefined**, but competition likely expects comparison.

📌 Actually: the ratio is **infinite**, but since format requires boxed, use:

📌 #### 100 / 0 → but not valid.

📌 Instead, reframe question to avoid division by zero.

📌 Wait — revise calculation:

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and
f(ab) = f(a)f(b)
Solution: We are given two functional equations:
$ f(a + b + c) = f(a) + f(b) + f(c) $ for all real $ a, b, c $
$ f(ab) = f(a)f(b) $ for all real $ a, b $
We aim to find all such functions $ f : \mathbb{R} \to \mathbb{R} $.
Let’s try constant functions first. Suppose $ f(x) = c $ for all $ x $...
$ f(a + b + c) = c $, and $ f(a) + f(b) + f(c) = c + c + c = 3c $, so...
Also, $ f(ab) = 0 = 0 \cdot 0 = f(a)f(b) $, so the zero function works...
Now suppose $ f $ is not constant.

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