1. 2. In my class, I give five homework assignments, each worth 25 points, and three examns, each worth 100 points. I currently compute a student's final grade by giving 75 percent of the weight to exams and 25 percent to homework. Set up a worksheet to calculate the final grade for a student that allows you to change the weight given to exams. A person's body mass index (BMI) is computed as BMI-703 Weight/Height?. Set up a work- sheet to compute a person's BMI, F 3. The Fibonacci sequence is defined as follows F 0. F, 1 and for n larger than 1 Fl F. Set up a worksheet to compute the Fibonacci sequence. Show that for large N, the ratio of successive Fibonacci numbers approaches the Golden Ratio (1.61) 4. 5. 6. The famous butterfly effect states that if a butterfly flaps its wings in Tahiti, that small event might cause a hurricane to hit Texas Suppose that weather at time t is always between 0 and 1 and is governed by x-4x, (1-x) For x, 0.3 and x-3000001, determine x,, X,, ... X;- How do your calculations illustrate the butterfly effect? A lake is currently stocked with 12,230 fish. Each year, the number of births per fish is 1.2. and the number of deaths per fish is 0.7 Show that if 6.115 fish per year are harvested, the number of fish in the lake will stay constant The Gini index is a commonly used measure of a nation's income inequality if the income of people is listed in increasing order(x, smallest income, X-largest income), then the Gini index is defined by the formula shown here nil G 22 ( + 1 - 1x. Set up a worksheet that determines the Gin index for a croud of five peopl