This question deals with big-O notation, as described in Section 3.2 of the text. 4 (a) Show that 5x³ + 7x¹ + 3 is O(x² + x¹) and that x² + x¹ is 0(5x³ + 7x¹ +3). Note: This shows that 5x³ + 7x¹ +3 and x² + x¹ are of the same order. (b) Let f(x) = x²(log x)³ and let g(x) = x³ (log(x))². (i) Determine if f(x) is O(g(x)). (ii) Determine if g(x) is O(f(x)).