Can you answer number 1 and 2 please

Math 1215 Second Project - Due Nov. 24, 2023 The goal of this project is to apply the concepts of discrete-time dynamical systems and the derivar tive test to an application of sustainable harvesting levels of sh. Below are submission details. 0 This project is done in groups of two or three people. Students are responsible for choosing their own partner / group. If more than three authors are listed, the project will not be graded. The project must have the cover page as the front page (see page 3 for the cover page) along with the detailed steps of your work attached (otherwise your project is incomplete). The project may be typed or handwritten, in a neat and legible way. The rst page of the project needs to contain the names, BOO numbers, and section (L01, L02, L03, L04, or L05 as you may work with anyone from the course) of the authors of the project clearly written on the top. 0 Please include the question numbers with your solutions. 0 Please submit only one copy of the project per group. 0 Have all group members check the nal le to make sure it is correct. 0 The project must be submitted as a single PDF' le. 0 Everything is due on Brightspace, under Assessments, by 11:59pm on Nov. 24, 2023. Fish Population Growth The general discretetime dynamical system model for a sh population assumes a per capita 7' production rate given by p(N) 2: m, where N is the number of sh in tens of millions (i.e., N = 5 means 50,000,000 sh). The value of r, the maximal possible reproduction rate, depends on the particular species of sh and environmental factors. The discretetime dynamical system that describes the development of a sh population N; is given by: Use this for problems 1 and 2. Assume that the unit for t is years. That is, t = 1 means one year. 1. Suppose that for Atlantic cod, 7' = 2.5. What are the equilibria points in this case? (Solve for your answer algebraically.) 2. Determine the stability of each equilibria point found in the problem 1, using the derivative test (see the lesson Logistic Equation)