3. Write the function R that models the total number of components that reenter the atmosphere around the earth each year.

To write a function R that models the total number of components that reenter the atmosphere around the Earth each year, you will need some data or information to base your model on. Without specific data or parameters, I will provide a general description of how you can approach this task.

1. Define the variables: Start by defining the variables that will be used in the function. In this case, the total number of components reentering the atmosphere around the Earth can be influenced by factors like the number of satellites, debris, or other man-made objects in space. Let's define the variable "N" as the number of objects in space that have the potential to reenter the Earth's atmosphere.

2. Do background research: Gather information about the average lifespan of objects in space, the rate at which they decay or disintegrate, or any other relevant data. This will help you understand the dynamics of objects entering and leaving Earth's atmosphere.

3. Determine decay rate: Based on your research, establish a decay rate or probability that an object will reenter the atmosphere each year. This decay rate can depend on a range of factors such as the altitude of the object, its size, and its composition.

4. Calculate total reentries: Using the decay rate and the initial number of objects in space, you can estimate the annual number of reentries. This can be done by multiplying the decay rate by the current number of objects.

5. Express it as a function: Now that you have the formula to calculate the annual number of reentries, you can express it as a function. Let's call this function R, which takes into account the variables N and the decay rate (D). The function can be written as:

R(N) = N * D

This function takes the initial number of objects N as input and multiplies it by the decay rate D to estimate the annual number of reentries.

Note: The accuracy and precision of this function will largely depend on the data and research you use to determine the decay rate. It is essential to collect reliable and up-to-date information for a more accurate model.