Question . [8 points, 1 pt each part] Simple proofs, true or false. 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(n2) b) log(n-2)(n+3) is 2(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) f n2+2n2+3n2+4n2+...+ (n)n is Q g) 50n0.001n3 is O(n) h) 50n + 0.001 n3 is (n)