COS2633 Numerical Methods I (COS2633)
University of South Africa
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COS2633 EXAM PACK 2023
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COS2633 EXAM PACK 2023
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COS2633 EXAM PACK 2023
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COS2633 EXAM PACK 2023
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COS2633 EXAM PACK 2023
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COS2633 EXAM MEMO MERGED.
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COS2633 EXAM MEMO MERGED. university of south africa COS2633 NUMERICAL METHODS 1 October/November 2014 SOLUTIONS QUESTION 1 (1.1) (a) (3)Write the Newton formula (recurrence relation) to approximate3 √ 5. 3 √ 5 is a solution to the equation x 3 = 5, or equivalently, x3 − 5 = 0. So if we apply the Newton’s method to the function f defined by f (x) = x 3 − 5, provided x 0 is given, we obtain the relation (1) xn+1 = xn − (xn )3 − 5 3 (xn )2 . (b) (3)Perform three iterat...
