Find a root of the polynomial x5 −5×4 +10×3 −10×2 +5x −1=0 correct to four decimal places by using the MATLAB function schroder with m=5 and a starting value x0 =2.

Find a root of the polynomial x⁵ −5x⁴ +10x³ −10x² +5x −1=0 correct to four decimal places by using the MATLAB function schroder with m=5 and a starting value x₀ =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 x¹⁰ =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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