ac 8 OH TO re #6 (8 Points) Suppose that L = = 10.75 al is the Leslie matrix of a population with two age classes, juveniles and adults. a) Fill in the blanks: The average number of offspring of a juvenile female is and the average number of offspring of an adult female is The percentage of juveniles who survive to become adults is %. Note: If you are writing your work on a separate sheet of paper, you can use the following abbreviations instead of copying the long sentence: Juvenile offspring ___, adult offspring and survival rate b) Calculate the eigenvalues for this matrix c) Find the eigenvector for the dominant eigenvalue. d) What is the meaning of the dominant eigenvalue for the long-term behavior of the population? e) Write the equation to compute the population after 10 years, it the initial population is 1101 given by Xo = 135 You do not need to compute the population. Extra Credit question - only answer when you have solved all the problems for which you know the answer (2 points) Why is the logistic growth model a better model than the Malthusian growth model for most populations? ac 8 OH TO re #6 (8 Points) Suppose that L = = 10.75 al is the Leslie matrix of a population with two age classes, juveniles and adults. a) Fill in the blanks: The average number of offspring of a juvenile female is and the average number of offspring of an adult female is The percentage of juveniles who survive to become adults is %. Note: If you are writing your work on a separate sheet of paper, you can use the following abbreviations instead of copying the long sentence: Juvenile offspring ___, adult offspring and survival rate b) Calculate the eigenvalues for this matrix c) Find the eigenvector for the dominant eigenvalue. d) What is the meaning of the dominant eigenvalue for the long-term behavior of the population? e) Write the equation to compute the population after 10 years, it the initial population is 1101 given by Xo = 135 You do not need to compute the population. Extra Credit question - only answer when you have solved all the problems for which you know the answer (2 points) Why is the logistic growth model a better model than the Malthusian growth model for most populations