Given the following 2 parabolic equations: f(x) = x2 - 4x + 5 8(x) = - x2 + 2x + 5 (a) Find the area of the enclosed space bounded above by g(x) and below by f(x). Solve it by using adaptive quadrature via trapezoidal rule with Tol = 10-4. Answer should be accurate to 4 decimal places. Note: The algorithm should be followed (The code must also contain only up to 15 lines), no points will be given if it is not followed. (b) If we use the midpoint rule to solve for item (a), find the appropriate number of intervals, N, that will produce a result accurate to 4 decimal places. Note: The algorithm should be followed (The code must also contain only up to 8 lines), no points will be given if it is not followed. Given the following 2 parabolic equations: f(x) = x2 - 4x + 5 8(x) = - x2 + 2x + 5 (a) Find the area of the enclosed space bounded above by g(x) and below by f(x). Solve it by using adaptive quadrature via trapezoidal rule with Tol = 10-4. Answer should be accurate to 4 decimal places. Note: The algorithm should be followed (The code must also contain only up to 15 lines), no points will be given if it is not followed. (b) If we use the midpoint rule to solve for item (a), find the appropriate number of intervals, N, that will produce a result accurate to 4 decimal places. Note: The algorithm should be followed (The code must also contain only up to 8 lines), no points will be given if it is not followed