Question: Exercise 1[6 marks] a) Prove that running time T(n)=n+30n+1 is O(n) [1 mark] b) Prove that running time T(n)=(n+30)(n+5) is O(n) [1 mark] c) Count

Exercise 1[6 marks] a) Prove that running time T(n)=n+30n+1 is O(n)

Exercise 1[6 marks] a) Prove that running time T(n)=n+30n+1 is O(n) [1 mark] b) Prove that running time T(n)=(n+30)(n+5) is O(n) [1 mark] c) Count the number of primitive operation of algorithm uniquel on page 174 of textbook, give a big-Oh of this algorithm and prove it. [2 mark] d) Order the following function by asymptotic growth rate [2 mark] a. 4nlogn+2n b. 3n+100logn c. n+10n d. n3 e. nlogn

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