Suppose g(x) is a positive continuous function defined for x ≥ 2. determine if each of the statements below can be used to support the conclusion that ∞ g(x) dx 2 converges. (each statement is independent of the others.) (a) b g(x) dx 2 = 1 4 − 1 b2 yes no (b) 0 < g(x) < 1 x3 yes no (c) lim x→∞ g(x) = 0 yes no (d) 0 < g(x) < 1 yes no

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1