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Question 2: With the user-friendly program developed on the course site to obtain the first derivative estimates for unequally spaced data. If the function is y=x+ 9xe 2x at x = 9 using step sizes of h = 0.001. A. Forward difference approximations of O(h): B. Backward difference approximations of O(h): C. Central difference approximation of O(ha): D. Central difference approximation of O(h*): Question 3: If the velocity of a roller coaster in the horizontal direction is given by V(x) = (40 - x)2 + (40 - x)sin(1x) Determine the horizontal distance travelled in 6 seconds with closed interval[0, 8] using both A. Trapezoidal rule : B. Simpson's rule : Question 2: With the user-friendly program developed on the course site to obtain the first derivative estimates for unequally spaced data. If the function is y=x+ 9xe 2x at x = 9 using step sizes of h = 0.001. A. Forward difference approximations of O(h): B. Backward difference approximations of O(h): C. Central difference approximation of O(ha): D. Central difference approximation of O(h*): Question 3: If the velocity of a roller coaster in the horizontal direction is given by V(x) = (40 - x)2 + (40 - x)sin(1x) Determine the horizontal distance travelled in 6 seconds with closed interval[0, 8] using both A. Trapezoidal rule : B. Simpson's rule