1. We are going to compare forward, backward and centered differences for understanding how fast Texas was growing in 2006. Let TX(t) be the population of Texas in year t a) Using a forward difference with t=5 years, estimate the rate of change TX(2006). Repeat with t=2. Repeat again with t=1. b) Now use backwards differences with t=5 years, 2 years and 1 year to estimate TX(2006). c) Finally, use centered differences with t=5 years, 2 years and 1 year to estimate TX(2006). d) Which of these nine estimates do you think is the most accurate? Why? 1. We are going to compare forward, backward and centered differences for understanding how fast Texas was growing in 2006. Let TX(t) be the population of Texas in year t a) Using a forward difference with t=5 years, estimate the rate of change TX(2006). Repeat with t=2. Repeat again with t=1. b) Now use backwards differences with t=5 years, 2 years and 1 year to estimate TX(2006). c) Finally, use centered differences with t=5 years, 2 years and 1 year to estimate TX(2006). d) Which of these nine estimates do you think is the most accurate? Why