Problem 3: [Optimization part 2] The following chart represent the rate of change for the pollinators that got into the traps. Rate of chage of the Pollinators per meter (Set to Set) 0 Change from Bowl Set 1 to 2 Change from Bowl Set 2 to Change from Bow Set 3 to 4 Change from Bowl Set 3 to 4 -0.3 -0.5 -1 -0.9 -1.2 -1.5 -2 -2.5 -2.7 -3 For all of the following problems recall that the distance between any two neighboring bowl sets is 10 meters. a) Observe that the diagram represents the graph of the function P'(m), where the input is distance in meters and the output is rate of change of the pollinators per meter. Then calculate: 1) P'(0)=? 2) P'(15) = ? 3) P"(50)=? 4) The domain of P"(m) is? b) Find the area of the first rectangle. What does the area represent? Find the area of the third rectangle. What does the area represent? c) Based on the data at what bowl set do you expect to have the maximum number of pollinators? Why? d) If we know that there were 100 pollinators is Bow 1, calculate how many were in Bow 3 and Bow 5. e) Approximate using the data the number of pollinators expected to be caught at the following distances: 1) 5 m away from Bow set 1; 2) 15 m away from Set 1