1ne number OI people 111 0111' "Closed envnonment' 15 Stage ,, -I--I-I-Il Number of Newly 1 Infected Applying Calculus t0 the Data: 1. Using the data from the chart, make a scatterplot of the "Stage Number" (in L1) vs. the "Number of Total Infected" (in L2). Sketch the scatterplot below. Connect the data points to create a continuous function for Y(t). 200 100 2. Using the data that was collected in the activity, answer the following questions about the derivative function Y'(t), which represents the instantaneous rate of change of the number of infected at any stage. Consider the domain to be [0 , 13 ]. a. When, if ever, is Y'(t) positive? b. When, if ever, is Y'(t) negative? c. When, if ever, is Y'(t) increasing? (1. When, if ever, is Y'(t) decreasing