Question 2 1 pts Suppose we wanted to compute the integral using a Newton-Cotes integration technique with n=9 segments. Which of the following are acceptable applications of this? Note multiple selections are allowed. 3 Simpson's 3/8 2 Simpson's 3/8 and 1 Simpson's 1/3 9 Trapezoidal 3 Simpson's 1/3 9 Simpson's 1/3 3 Simpson's 1/3 and 1 Simpson's 3/8 Question 3 1 pts Suppose we computed two trapezoidal rule approximations to the integral. An initial course estimate with segment length 0.87 approximated the integral as 17.7. A second finer estimate with a segment width half that of our first estimate was found to be 17.8. Using these two approximations, find an approximation with error Olh). Input your solution to three decimal places. Question 4 1 pts The following integral is to be computed using a two- point Gauss-Legendre integration technique. Sf(x) dx where a is 8 and bis 21. Find the larger x value at which the integrand is being evaluated. Input your answer to three decimal places. Question 2 1 pts Suppose we wanted to compute the integral using a Newton-Cotes integration technique with n=9 segments. Which of the following are acceptable applications of this? Note multiple selections are allowed. 3 Simpson's 3/8 2 Simpson's 3/8 and 1 Simpson's 1/3 9 Trapezoidal 3 Simpson's 1/3 9 Simpson's 1/3 3 Simpson's 1/3 and 1 Simpson's 3/8 Question 3 1 pts Suppose we computed two trapezoidal rule approximations to the integral. An initial course estimate with segment length 0.87 approximated the integral as 17.7. A second finer estimate with a segment width half that of our first estimate was found to be 17.8. Using these two approximations, find an approximation with error Olh). Input your solution to three decimal places. Question 4 1 pts The following integral is to be computed using a two- point Gauss-Legendre integration technique. Sf(x) dx where a is 8 and bis 21. Find the larger x value at which the integrand is being evaluated. Input your answer to three decimal places