3. (a) (4 points) Fill in the blanks in the following MATLAB function M-file trap so that it implements the composite trapezoidal rule, using a sequence of m = 1,2,4,8, 16,... trapezoids, to approximate o f(x)dz This M-file uses the MATLAB built-in function trapz. If x = (x1, x2, . . . , xm+1) and y = (f(a), f(x2), . . . , f(z,n+1 )), then the execution of z - trapz(x, y) approximates f(x)dr using the composite trapezoidal rule (with m trapezoids). (Note that the entries of r are labeled starting at because MATLAB does not allow an index of 0.) The function M-file trap has 4 input parameters: .a and b (the lower and upper limits of the integral) maxiter (the maximum number of iterations that are allowed; the above program will implement the composite trapezoidal rule with a sequence of 1,2, 4,8, 16,... trapezoids, up to a maximum of 2ter trapezoids); . tol (a tolerance for testing the relative error of the computed approximation) If the difference between 2 successive approximations (with respect to relative error) is