What is the loop that forms after many iterations when the initial value of g is 1.77 8. What is the loop that forms after many iterations when the initial value of g is 1.72? Repeated iterations will not always lead to a single number or a looping pattern. You can use the function f(x) - 4x - x^2 to demonstrate this. Choose an initial value that is between zero and 4 and is not a whole number. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. Choose a second initial value that is 0.01 greater than the initial value from question 9. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. Is there a relationship between the ten values from question 9 and the ten values in question 10? Chaos Theory Chaos theory is the branch of mathematics that studies how small changes in inputs to functions can lead to vast changes in overall results. There is the famous idea that if a butterfly flaps its wings on one side of the world, it can lead to a hurricane on the other side of the world. This idea is part of chaos theory. Use the Internet to conduct research on real-world applications of chaos theory. Some examples of search terms to use are chaos theory, the butterfly effect, and fractal. Write 2-3 paragraphs on how chaos theory is used in today's world in various fields. What is the loop that forms after many iterations when the initial value of g is 1.77 8. What is the loop that forms after many iterations when the initial value of g is 1.72? Repeated iterations will not always lead to a single number or a looping pattern. You can use the function f(x) - 4x - x^2 to demonstrate this. Choose an initial value that is between zero and 4 and is not a whole number. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. Choose a second initial value that is 0.01 greater than the initial value from question 9. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. Is there a relationship between the ten values from question 9 and the ten values in question 10? Chaos Theory Chaos theory is the branch of mathematics that studies how small changes in inputs to functions can lead to vast changes in overall results. There is the famous idea that if a butterfly flaps its wings on one side of the world, it can lead to a hurricane on the other side of the world. This idea is part of chaos theory. Use the Internet to conduct research on real-world applications of chaos theory. Some examples of search terms to use are chaos theory, the butterfly effect, and fractal. Write 2-3 paragraphs on how chaos theory is used in today's world in various fields