Find a root of the polynomial x^{5} −5x^{4} +10x^{3} −10x^{2} +5x −1=0 correct to four decimal places by using the MATLAB function schroder with m=5 and a starting value x_{0} =2. Use MATLAB function fnewton to solve the same problem. Compare the result and the number of iterations using both methods. Use an accuracy of 5×10^{−7} Use the simple iterative method to solve the equation x^{10} =ex. Express the equation in the form x =f(x)in different ways and start the iterations with the initial approximation x =1. Compare the efﬁciency of the formulae you have devised and check your answer(s) using the MATLAB function fnewton.

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