uppose that at 12:01 a.m. on January 1 (just after midnight), there is one cell. And suppose it takes exactly 12 hours for each Cell to grow large enough to split into two, with the first split taking place at 12:01 p.m. (just after noon) on January 1. Your task is to find a general rule for figuring out the number of creatures at a given time. (Note: In this model, these cells never die they simply split into two.)
uppose that at 12:01 a.m. on January 1 (just after midnight), there is one cell. And suppose it takes exactly 12 hours for each Cell to grow large enough to split into two, with the first split taking place at 12:01 p.m. (just after noon) on January 1. Your task is to find a general rule for figuring out the number of creatures at a given time. (Note: In this model, these cells never die they simply split into two.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I have a question about my math. So i have to create a formula that will help solve everytime i plug a day into it. I need help creating the formula

Transcribed Image Text:**Title: Cell Division and Growth Model Exploration**
**Objective:**
Determine a general rule for calculating the number of cells at any given time based on a specific growth model.
**Scenario:**
- At 12:01 a.m. on January 1, start with one cell.
- Each cell requires exactly 12 hours to grow and split into two cells.
- The first cell division occurs at 12:01 p.m. (just after noon) on January 1.
**Task:**
- Develop a formula or general rule to predict the number of cells at any specified time.
**Note:**
- In this model, cells do not die; they only divide, doubling their number every 12 hours.
**Application:**
This exercise is aimed at understanding exponential growth concepts, particularly in biological systems, and applying mathematical reasoning to biological phenomena.

Transcribed Image Text:### Problem 2: Calculation of Creature Population Over Time
**Objective:**
Develop a general formula to determine the number of creatures present at 12:01 a.m., \(d\) days after the initiation of the experiment. At the starting point, 12:01 a.m. on January 1, \(d = 0\).
**Instructions:**
Please attach your calculations or add a visual representation of your work to demonstrate the derivation or application of the formula.
**Note:** Think about factors that might influence the population, such as growth rate, carrying capacity, or environmental limitations.
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