I. Using the Midpoint Rule a. Estimate the integral with n = 4 steps and find an upper bound for | Em| The estimate using the Midpoint Rule with n = 4 is 15.88 . (Round to two decimal places as needed.) The upper bound for | EM | is 0.13. (Round to two decimal places as needed.) b. Evaluate the integral directly and find | Em|. (3x2+7) dx= 16.00 (Round to two decimal places as needed.) EM| = 0.12 (Round to two decimal places as needed.) c. Use the formula ( EM /(true value)) x 100 to express |EM | as a percentage of the integral's true value. The value of EM as a percentage of the integral's true value is 0.8%. (Round to one decimal place as needed.) Il. Using the Trapezoidal Rule a. Estimate the integral with n = 4 steps and find an upper bound for |ET. T = 16.25 (Round to two decimal places as needed.) The upper bound for | ET | is 0.25. (Round to two decimal places as needed.)The upper bound for IET' is (125'. (Round to two decimal places as needed.) b. Using the value of the integral found by evaluating directly in part l.b., find lET). ' 'ETI = 0.25 (Round to two decimal places as needed.) 0. Use the formula (lET (((true value))x 100 to express lET) as a percentage of the integral's true value. 1.5'% (Round to one decimal place as needed.) lll. Using Simpson's Rule a. Estimate the integral with n = 4 steps and nd an upper bound for IE8 I. s = 16.00' (Round to two decimal places as needed.) The upper bound for IESI is 0.00'. (Round to two decimal places as needed.) b. Using the value of the integral found by evaluating directly in part l.b., find IE3 |. (E8) = 030' (Round to two decimal places as needed.) 0. Use the formula [IE5 l ((true value)) x 100 to express (Es) as a percentage of the integral's true value. The value of IESI as a percentage of the integral's true value is 0.8%. (Round to one decimal place as needed.) Estimate the minimum number of subintervals needed to approximate the value of (3x2 + 4) dx with an error of magnitude less than 4 x 10 4 by - 3 a. the Trapezoidal Rule. b. Simpson's Rule