Q1

2 Consider the integral - dx with n = 4. X a. Find the trapezoid rule approximations to the integral using n and 2n subintervals. b. Find the Simpson's rule approximation to the integral using 2n subintervals. c. Compute the absolute errors in the trapezoid rule and Simpson's rule with 2n subintervals. a. What is the trapezoid approximation with n subintervals? T(4) = (Round to six decimal places as needed.)U.S. Oil Production and Imports The figure to the right shows the rate at which a country's oil was produced and imported between 1920 and 2005 in units of millions of barrels per day. The total amount of oil Production produced or imported is given by the area under the corresponding curve. Be careful with the units because both days and years are used in this data set. Answer parts a and b below. Million burch/day Imports 1920 1940 1960 1980 2000 Year a) Use numerical integration to estimate the amount of oil produced between 1940 and 2000. Use any method and experiment with values of n. Choose the correct answer below. O A. 1.70 x 10 barrels O B. 8.30 x 10 barrels O C. 8.30 x 10 barrels O D. 1.70 x 10 barrels