3. (2 pts) A population of deer has a Leslie matrix L with largest positive eigenvalue c = 0.859. If the initial population at time 0 is given by X(0), which of the following are proper ways of computing the number of deer in the various age groups at time n = 43 ? Check all that apply. A. We can always use X(43) = L43X(0) B. We can always use X(43) = 0.85943X(0) C. If X(0) is an eigenvector, then we can use X(43) = 0.85943X(0) D. We can always use X(43) = X(0) 43 E. ☑If X(0) is an eigenvector, then we can use X(43) = X(0)43 tri +115 5. (5 pts) A population follows a logistic DDS given by Formula Pn1+ Pn = 1.31pn-1 -0.00026p-1 a) Determine the growth rate r. er Pu-l vpn-1 r = 1. 1.310 1.31 b) Determine the carrying capacity N. Round to the nearest integer value. N = 26.963 2 Purp 6.000 c) What is the non-trivial equilibrium value and what is its stability? The non-trivial equilibrium = - 0.5 and it is scale.