Question: Hide Assignment Information Instructions Answer the following questions: 1) Find the complexity of the following set loops, where n is given as input: 2) Discuss

Hide Assignment Information Instructions Answer the following questions: 1) Find the complexity of the following set loops, where n is given as input: 2) Discuss the following hypothesis: You cannot find two functions f(n) and g(n) where f left parenthesis n right parenthesis less or equal than capital omicron left parenthesis g left parenthesis n right parenthesis right parenthesis space a s space u p p e r space b o u n d spacef left parenthesis n right parenthesis space greater or equal than space capital omega left parenthesis g left parenthesis n right parenthesis right parenthesis thin space a s space l o w e r space b o u n d space 3) Find time complexity of the following recurrence T left parenthesis n right parenthesis space equals space 3 T left parenthesis n divided by 4 right parenthesis space plus space n 4) Find time complexity of the following recurrence T left parenthesis n right parenthesis space equals space 8 T left parenthesis n divided by 6 right parenthesis space plus space square root of n 5) Find time complexity of the following recurrence T left parenthesis n right parenthesis space equals space 3 T left parenthesis 3 over 5 n right parenthesis space plus space n

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