Question: Apply Newtons method (6S-accuracy). First sketch the function(s) to see what is going on. Find the largest root of the Legendre polynomial P 5 (x)

Apply Newton’s method (6S-accuracy). First sketch the function(s) to see what is going on.

Find the largest root of the Legendre polynomial P5(x) given by P5(x) = 1/8 (63x5 - 70x3 + 15x)

(a) By Newton’s method

(b) From a quadratic equation.


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