(a) Evaluate the following definite integral: [^ (VE (√T-1)³ dr.. (b) Consider the function y = ar³ + bx² + cx+d, where a 0. Show that the graph of y has exactly one inflection point. 1 (c) Consider the function y= Estimate the approximate percentage change in y (2x+3)4* when a increases from 1 to 1.01.