answer d) pls

(Long question; be sure to scroll all the way to the bottom.) A population of butterflies lives in a meadow, surrounded by forest. We want to investigate the dynamics of the population. Over the course of a season, 38% of the butterflies that were there at the beginning die. During each season, 24 new butterflies per square kilometer arrive from other meadows. a) The number of butterflies per square kilometer can be describe by a DTDS of the form mt+1 = f(1:t), where mt is the number of butterflies per square kilometer at the beginning of season t. Find the updating function f. Answer: at) 2 (1 +(-.38))*X+24 a b) If at the beginning of season t = 0 we have 125 butteries per square kilometer in the meadow, compute the number of butterflies per square kilometer at the beginning of seasons 1. 2, and 3. FORMATTING: Give your answers with an accuracy of two decimal places. Answer: m1 = 101 .50 , 2:2 2 86.93 and 2:3 2 77.90 c) Find the fixed point p of the DTDS. FORMA'lTlNG: Give the exact answer; do not round. Answer: p = 63.157894? a d) Write the general solution of the DTDS with the initial condition 1:0 = 125. e) Draw at least 4 iterations of the cobweb for this DTDS, starting at 2:0 = 125. instructions: Start your cobweb on the horizontal axis. Click on the left button of your mouse to enter a corner point of your cobweb. You can always adjust the coordinates of the last point that you have entered using the field with the coordinates and pressing the return key. "Close enough " is good enough; this is emulating a hand-drawn graph