Question: To calculate a planet's space coordinates, we have to solve the function f(x) = x-1-0.5 sin x Let the base point be a 1 on

 To calculate a planet's space coordinates, we have to solve the

To calculate a planet's space coordinates, we have to solve the function f(x) = x-1-0.5 sin x Let the base point be a 1 on the interval [0, 3.14]. Use a step size h 0.01 Write a MATLAB script that will approximate the above function for the specified interval using (1) the first-order, (2) second-order, and (3) third-order Taylor approximation Analyze the errors and determine the maximum error on the given interval for each a roximation method Plot the results from the above code in a single graph. Also plot the true values directly calculated from the given function Display the maximum error values from three approximations when you execute the code

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