Problem 2. Submit on Canvas Extrema of Covid Rates The following graph of R(x) gives the values of the rate of hospitalizations per week due to COVID for unvaccinated people 18 or older from January 2021 to January 2022. The rates are given per 100,000 people. Statistical software was used to model the best fourth degree polynomial that fits the data from week 10 to week 40. The polvnomial is given by y=164.881+44.2059;c3.6076x2+.1180x3.00131265x4 Use this model to analyze R(x). 200 59' Rate of Hospitalizaiions per 100,000 population 8 3) Find the critical numbers of the fourth degree model that approximates R(x) . b) Find largest and smallest value of the model on the interval [ 10, 40]. Include units. c) interpret the values in part 3. Explain what is being maximized and minimized. d) When is the total number of hospitalizations at a maximum on the interval [ 10, 40]