State the asymptotic complexity of each of the following functions in simplest terms, using theta(f(n)) (“theta”) notation. You do not need to provide any justification or proof. F_a(n) = n^4 + 2n^3 + 10n^2 + .5n – 64 f_b(n) = 1024 middot Ign + n f_c(n) = Squareroot n^2 + 8n +8 f_d(n) = 2^n + 4^n + 8^n f_e(n) = 4(n + 11 ) lg(n^2 + n) + 10n f_f(n) = Squareroot lg (n^2) + n + 18 f_g(n) = 2^12 + 3^3 middot 6 lg(88888) f_h(n) = 17 lg(3n + 15) + 22lg(5n + 9) f_i(n) = 7n^0.6 + 3 Squareroot n f_j (n) = 3 lg(n^3 + n^2) + 4n^0.4 Provide a “big oh” run-time analysis for each of the following. When a value of “n” is used, it is the size of the input. You may assume max() and min() are constant-time in-line functions. void problem_2a() { cin >> rows >> cols; n = rows * cols; step = n; while (step > 1) for (i = 0; i Show transcribed image text State the asymptotic complexity of each of the following functions in simplest terms, using theta(f(n)) (“theta”) notation. You do not need to provide any justification or proof. F_a(n) = n^4 + 2n^3 + 10n^2 + .5n – 64 f_b(n) = 1024 middot Ign + n f_c(n) = Squareroot n^2 + 8n +8 f_d(n) = 2^n + 4^n + 8^n f_e(n) = 4(n + 11 ) lg(n^2 + n) + 10n f_f(n) = Squareroot lg (n^2) + n + 18 f_g(n) = 2^12 + 3^3 middot 6 lg(88888) f_h(n) = 17 lg(3n + 15) + 22lg(5n + 9) f_i(n) = 7n^0.6 + 3 Squareroot n f_j (n) = 3 lg(n^3 + n^2) + 4n^0.4 Provide a “big oh” run-time analysis for each of the following. When a value of “n” is used, it is the size of the input. You may assume max() and min() are constant-time in-line functions. void problem_2a() { cin >> rows >> cols; n = rows * cols; step = n; while (step > 1) for (i = 0; i

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