📐 MathLevel 12 — 🟡 AdvancedCalculus👁 12 views⏱ 2 min read
Giải tích 11: Đạo hàm và Giới hạn trong bài toán thực tế.
📝 Problem
A scientist is studying the growth of a type of bacteria in a laboratory. He models the number of bacteria at time (hours) using a function . Through observation, he noted that:
1. The instantaneous growth rate of the bacteria population at any time is always directly proportional to the current population at that time, with a proportionality constant of f(x)2f(x)$).
2. At the initial time (3$ thousand.
To predict future growth, the scientist needs to calculate the value of the expression . Help him find this value.
===SOLUTION_EN✨Detailed Solution
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