Please solve all. Will give positive rating.

Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c and no as used in the definitions of big-O, and a) log((n-2) (n+3)) is O(n) b) log((n-2) (n+3)) is (n log n) c) (n+ log(n)) (n+8) is O(n) d) (n + log(n)(n+8) is (n log n) e) n+2n +3n-+4n+...+ (n)n is O(n) g) 50n 0.001n3 is O(n) h) 50n + 0.001 n3 is (n)