SUDILIIL detailed WILLer SOILIons LO Crowdmark al tie erlu oI exaIII. Question 12 (0.00001 points) Let f (ac) = 2a + ac In(ac). (a) Find the linear approximation of the function around x = 1. (b) Use the linearization from part (a) to estimate the value of the function at x = 1.05. (c) Find the second degree Taylor polynomial T2 (x ) of the function f(a) = 2a + 2 In(x) centered at x = 1. (d) Use the fact that f(a) ~ T2(a) to find an approximated value of the integral f(x) dx . 0.5 Hint: f(20) doc~ T2 (a) dac. Round your answer to four decimal places. (e) Evaluate the integral 2x + x In x da