Math 1113 : Develop and Analyze a Method to Determine the Optimal Strategy for a Population of Baboons - Mathematics Assignment Help

Assignment Task :

1 Introduction 

The goal is to explore how to develop and analyze a method to determine the optimal strategy for a population of baboons, Papio cynocephalus cynocephalus, to minimize the time between births[1]. The troops of baboons can change their altitude as a way to change the mean annual temperature they experience. Both the combination of temperature and altitude impact the time between births, the interbirth interval, and the question is: What is the altitude that will minimize the interbirth interval? 

This project description is organized in multiple parts. The first part is a brief discussion of plagiarism. The second part includes some general guidelines that you should observe. These guidelines offer a broad overview for technical writing and some parts may not be relevant to your report. 

Following the general guidelines, a description of the situation you should explore is given. This will include a description of the general idea with an example. It will also include specific information relevant to the project and your report. Please read this carefully. The questions posed will define the expectations for your report. 

The last page of this description includes the rubric. The rubric will be used to determine your grade. You should read through it carefully. If you have a question about what something means, please contact your instructor. 

 Organization 

When a person picks up and reads the introduction to a technical report they should have the basic idea of what problem is addressed, how the authors addressed the problem, and what the conclusions are. There should not be any surprises once the person begins to read the details. 

To aid your reader your paper should be divided into different sections (including an introduction and a conclusions section). 

• Your introduction should include the following: 

•  an overview of the problem you are addressing,
• a list of the questions that are posed,
• a broad overview of the report,
• your specific results. 

The Project 

For the project, you should explore the relationship between the altitude, the temperature and the interbirth interval. Keep in mind that the animals’ goal is to maximize their birth rate, but not every group is able to do so. You should complete the following tasks: 

• Develop and describe a mathematical model of the relationship between the temperature and the altitude. 

•  Determine what kind of function to model the relationship.
• If possible, express the altitude as a function of the temperature.
• If possible, express the temperature as a function of the altitude.
• Discuss the domain and the range of both functions in terms of the physical restrictions associated with the given locations. This is not the domain and range of the functions, but the limitations of the domain and range that are consistent with the physical locations in which the animals live.
• Include graphical, algebraic, and verbal descriptions of the functions.
• Determine what parameters are associated with the function and what they mean. For example, if you use a linear function, determine the slope and intercept, and discuss their meaning in the context of the functions. One way to do so is to discuss the change in the output for each unit change in the input variable. 

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