### Log n!, Summation and Theta Relation

Prove that log n! and sum from i=2 to n log i have a theta relation to n log n.

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Prove that log n! and sum from i=2 to n log i have a theta relation to n log n.

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See the attached file.

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Please see the attached file for the fully formatted problems.

Please see the attached file for the fully formatted problems.

(See attached file for full problem description) --- ALGEBRA Please add a bit more detail to each problem as to how the answers were derived. Thanks! 1. Perform the indicated operation: (x3 - 2x2 - 4x + 3)  (x - 3) Since x3 - 2x2 - 4x + 3 = (x - 3) ( ), we have (x3 - 2x2 - 4x + 3)  (x - 3) =

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