I can find the finite differences, but how do I find the number of birds in July?
owl.bcpnet. net/Algebra%202/ch6/section09/problem_solving.pdf
Question 3 requires the polynomial model, say P(x) where x is the month, 1 for January, 2 for February, and so
P(7) is the value for July.
So if you have already found the polynomial for question 3, it is a question of substituting the proper month (July) to find P(July) as the number of birds in July.
In case you have difficulties also with Q3, there is a good article that show you how to solve a similar problem step-by-step:
http://www.trans4mind.com/personal_development/mathematics/series/polynomialEquationDifferences.htm
To find the number of birds in July, you need to know the context or the information provided in the source you mentioned. Unfortunately, I cannot access external links or view specific files like PDFs.
However, in general, to find the number of birds in July, you will need some sort of data or information about the birds. Here are a few ways to approach this problem:
1. Given Data: If you have a data set or a table with the number of birds recorded for each month, you can look for the entry corresponding to July and find the number of birds given there.
2. Patterns or Trends: If you have data for other months or years, you can observe patterns or trends in the data. For example, if there is a consistent increase or decrease in the number of birds from month to month, you can use that information to estimate the number of birds in July.
3. Interpolation: If you have data for the months surrounding July, you can use interpolation techniques to estimate the number of birds in July. Interpolation involves using the data points before and after July to calculate an approximate value for July.
4. Additional Information: Sometimes, the problem may provide additional information that can help you estimate the number of birds in July. For example, if you know that the population of birds doubles every month, you can use that information to find the number of birds in July by doubling the number from the previous month.
In summary, to find the number of birds in July, you need to have relevant data, look for patterns or trends, use interpolation, or consider additional information provided in the problem.