What is the continuous growth rate of the colony? Round to the nearesthundredth of a percent. **Problems.** The graph below shows the number of cats, $ C $, in a feral colony $ t $ months after the colony began.### Graph Explanation:- **Axes:** - The horizontal axis represents time in months ($ t $), ranging from 0 to 30 months. - The vertical axis represents the number of cats ($ C $), ranging from -30 to 30.- **Curve:** - The curve on the graph is a quadratic curve indicating the growth in the number of cats over time. - The curve begins at $ t = 0 $ with a negative number of cats which might represent a placeholder or initial condition in the model.- **Data Point:** - There is a highlighted point on the curve at approximately $ t = 18 $ months, where the number of cats reaches $ C = 20 $. - **Observation:** - The overall trend of the graph shows an upward slope, indicating that the number of cats increases over time.This visual representation can help in understanding population dynamics and growth trends in a controlled or observed environment.

Consider the given graph, The given graph is looking like the graph of the function y=abx. First put…

Answered: Problems. The graph below shows the…

Problems. The graph below shows the number of cats, C, in a feral colony t months after the colony began. 30 25 -20 -15 10 5 6. 15 18 21 24 27 30 12 6,

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

What is the continuous growth rate of the colony? Round to the nearest
hundredth of a percent.

**Problems.** The graph below shows the number of cats, $ C $, in a feral colony $ t $ months after the colony began.

### Graph Explanation:

- **Axes:**
- The horizontal axis represents time in months ($ t $), ranging from 0 to 30 months.
- The vertical axis represents the number of cats ($ C $), ranging from -30 to 30.

- **Curve:**
- The curve on the graph is a quadratic curve indicating the growth in the number of cats over time.
- The curve begins at $ t = 0 $ with a negative number of cats which might represent a placeholder or initial condition in the model.

- **Data Point:**
- There is a highlighted point on the curve at approximately $ t = 18 $ months, where the number of cats reaches $ C = 20 $.

- **Observation:**
- The overall trend of the graph shows an upward slope, indicating that the number of cats increases over time.

This visual representation can help in understanding population dynamics and growth trends in a controlled or observed environment.

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