DO NOT USE CURSIVE. Question 2) Are the following statements True or False? If they are True, prove them. If they are False, show they are False using at least one example or contradiction: (36 points) we have 1- 1000n + 20 = 0(n?) 2- 3n2 + 8n - 6 = 0(n3) 3- n5 = 2(11n2 + 8n +9) 4- For all positive constants a>0, a'>0, b>0, b'>0, t > 0, t'>0, an? + bn + t = 0(a'n? + b'n + t') 5- 3n3 + 20n2 = 0(n3 + 7n) 6- If f(n) = 0 (g(n)) and g(n) = o(h(n)) then f(n) = 0(h(n)) 7- If fi(n) = 0(91(n)) and f2(n) = 0 (92(n)) and f3(n) = 0(93(n)) fi(n) + f2(n) + f(n) = 0(max (91(n),92(n), 93(n))) 8- If fi(n) = 0(91(n)) and fz(n) = 0(92(n)) then fi(n) fz(n) = 0(91(n) 92 (n)) 9- If f(n) = 0(g(n)), then 2f(n) = 0(29(n)) then