For this tangent line approximation question, my answer is d. 4. is my work correct? f(x) = f(a) + (x - a)f'(a) a = -0.5 x = 0 f(0) = 2 + 0.5(4) = 4

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297