Note: For questions 2-4 we assume the discretetime dynamical system is given by m1\" = 0.7m; + 3 with mm = 0. Please note that this system 1's NOT the answer to question I. Excel Data for Q 2 2. Write an excel document that calculates the medication levels in the bloodstream for the rst _; LOWNGU'IAUN 1o 11 12 13 14 15 16 1? 13 19 20 21 22 23 24 25 25 27 2B 29 0 3 5.1 6.57 7.599 8.3193 8.82351 9.176457 9.4235199 9.59646393 9.717524751 9.802267326 9861587128 990311099 9932177693 9952524385 9966767069 9976736949 9983715864 9988601105 9992020773 9994414541 9996090179 9997263125 9998084188 9998658931 9999061252 9999342876 9999540013 four weeks of taking this medication (i.e., for 28 days). Include your excel table, or ll in the table that follows the cover page. Horn this calculation, we can see that in the long term the level of medication in the bloodstream is going towards what value? (Round the amount on the 28th day to the second decimal place.) The next two paragraphs walk you through how to use Excel (using a different example). Suppose your dynamical system were A | B C i - 10 | m = 0.2m + 4 With 111. = 10. To do the a\" .5 " = 0.2*A1 + 4 | excel calculations, you would type the follow- ing into a spreadsheet, where A1 would have your initial amount, in this case it is 10. A2 is calculating 20% of A1 or ().2*A1 and then 4 is added. A3 is calculating 20% of A2 or 0.2*A2 and then 4 is added, and so on. = 0.2*A2 + 4 : 0.2 *A3+ 4 : 0.2*A4 + 4 L444 'O'EUIJE-'QDMH The rst spreadsheet shows what you would type in a cell (or box), and the second spread- sheet is what the computation would display. The second spreadsheet is what we are looking for you to submit. Note that once you set up the rst formula (in the cell A2 in this case, you can copy/ drag the formula down into the next rows.) (shbowl1| 1m: . Find the equilibrium point(s) of this system. . Sketch a graph of the updating function of the discrete-time dynamical system mg+1 = 07m; '1' 3- You can think of the updating function also as y : 0.7.1:+ 3, but please label your graph using the notation mi and my\" in place of x and 3;. Draw a cobwebbing diagram that determines whether the equilibrium point(s) are stable or unstable. (You will want to choose initial conditions near the equilibrium point(s), on each side, to check for stability.) Does this answer agree with what you would have expected from your Excel table