Question: 1. ! (25%) In each subtask you will be given two functions of n: f(n) and g(n). In each subtask, specify whether (9) f(n) (g(n)),

1. ! (25%) In each subtask you will be given two

1. ! (25%) In each subtask you will be given two functions of n: f(n) and g(n). In each subtask, specify whether (9) f(n) (g(n)), (O) f(n)=0(g(n)), (Q) f(n) (g(n)), or (N) neither of the above cases apply. For each subtask, your answer should be a single letter: , O, or N. You do not have to justify your answers for this task. If both case (0) and (O) apply, or both case (e) and (S2) applies, only write that case (e) applies. Each correct answer gives 4 points, no answer gives 1 point, wrong answer gives 0 points (a) f(n)-n10, g(n) 10n 4Vn. (b) f(n) = 100n2-n logn, g(n) = 2n-n100. (c) f(n)-nlogn, g(n) 100n. (d) f(n) (n sin(n))2, g(n2 (e) f(n) (nsin(n)2, g(n)(n cos(n))2. (f) f(n)-10log n, g(n)-log(10n) (g) f(n) log, g(n)- (h) f(n)= 100nio, g(n)= 210 log2(n). (i) f(n) n, g(n) RT 100 i) f(n) n100, g(n) n2 1. ! (25%) In each subtask you will be given two functions of n: f(n) and g(n). In each subtask, specify whether (9) f(n) (g(n)), (O) f(n)=0(g(n)), (Q) f(n) (g(n)), or (N) neither of the above cases apply. For each subtask, your answer should be a single letter: , O, or N. You do not have to justify your answers for this task. If both case (0) and (O) apply, or both case (e) and (S2) applies, only write that case (e) applies. Each correct answer gives 4 points, no answer gives 1 point, wrong answer gives 0 points (a) f(n)-n10, g(n) 10n 4Vn. (b) f(n) = 100n2-n logn, g(n) = 2n-n100. (c) f(n)-nlogn, g(n) 100n. (d) f(n) (n sin(n))2, g(n2 (e) f(n) (nsin(n)2, g(n)(n cos(n))2. (f) f(n)-10log n, g(n)-log(10n) (g) f(n) log, g(n)- (h) f(n)= 100nio, g(n)= 210 log2(n). (i) f(n) n, g(n) RT 100 i) f(n) n100, g(n) n2

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