To prove big Theta, we must prove both big O and big Omega. For each of the following functions, prove the statement by finding a pair of witnesses that proves big O and a pair of witnesses that proves big Omega. 5n 10 is Theta(n) 3n2 3n 3 is Theta(n2) 6 log n 2 is Theta(log n) 6n5 3n2 n 12 is Theta(nk)

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Representa os dados de um banco de dados como uma coleç? o de tabelas constituídas por um conjunto de atributos, que definem as propriedades ou características relevantes da entidade que representam. marque a alternativa que representa o modelo descrito no enunciado. escolha uma:

Write a function balancechemical to balance chemical reactions by solving a linear set of equations. the inputs arguments are: reagents: symbols of reagents in string row array products: symbols of products in string row array elements: elements in the reaction in string row array elcmpreag: elemental composition of reactants in two dimensional numeric array elcmpprdcts: elemental composition of prducts in two dimensional numeric array hint: the first part of the problem is setting up the set of linear equations that should be solve. the second part of the problem is to find the integers from the solution. one way to do this is to mulitiply the rational basis for the nullspace by increasing larger integers until both the left-and right-side integers exist. for example, for the reaction that involves reacting with to produce and : reagents=["ch4", "o2"]; products =["co2", "h2o"]; elements =["c","h", "o"] elcmpreag=[1,4,0;