Write a script that implements the two-dimensional Newton method for the function f: R^2→ R^2 defined by f(x1+ x2)= (x1^2+ x2^2 -1, cos(πx1)). You may compute the explicit expression of the Jacobian matrix and its inverse to implement it directly. Store your solution in a column vector named . Store the final values of f(x) in a column vector named .

Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?

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Why is outfitting a workplace with video games in a technology development company consiered a strategic use of money