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Claim: 3n2+6n8=O(n). You generally prove such a claim by showing that c>0,n00 there exists nn0:3n2+6n8>cn. For this problem, you should determine a formula for the

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Claim: 3n2+6n8=O(n). You generally prove such a claim by showing that c>0,n00 there exists nn0:3n2+6n8>cn. For this problem, you should determine a formula for the smallest value of n for which the statement above is true (in order to prove the claim.) Once you have a formula for n in terms of those variables, plug in the following values for c and n0 below (or for whichever of these two variables appear in your formula.) Submit your formula work on gradescope, but put your answer for your specific value of n below. For your problem, n0=3 and c=31. Use your formula to determine the smallest value of n for which the inequality holds. Please round your answer to the nearest 2 decimal places. You may use a calculator or a graphing tool if you wish to help solve any equations you get

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