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6. Let f(x) = cos(zx). a) Show that x = x is a root of f. [1) b) Use the Newton-Raphson method with x. =

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6. Let f(x) = cos(zx). a) Show that x = x is a root of f. [1) b) Use the Newton-Raphson method with x. = 3 to find x, to 4 decimal places. 4 c) Calculate the percentage error in using your rounded value of x, to approximate x. Give your answer to 3 significant figures. [2] TOTAL 40 MARKS Test 11.3a- Numerical Methods Page 1 of 1 ZigZag Education, 2018

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