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1. (25 points) Prove 15n+200O(n2). (hint: if t(n)O(g(n)) then t(n) cg(n) for all nn0 ) 2. (25 points) Compare the orders of growth of 31n(n2)

1. (25 points) Prove 15n+200O(n2). (hint: if t(n)O(g(n)) then t(n) cg(n) for all nn0 ) 2. (25 points) Compare the orders of growth of 31n(n2) and n2. (hint: use limits for comparing orders of growth)

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