\f[10 marks] 5. Find a linear approximation in each case and use it to approximate the number. Give your answer as a fraction. (5 marks) a. V 39999 (5 marks) b. tan 46 [18 marks] 7. Find the absolute maximum and absolute minimum values of f on the given interval. (6 marks) : x2+2x+1 _ a. f(x) x2+1 0n [ 1,2] (6 marks) b. f(x) = 962er on [2, 1] (6 marks) C. f(x) = x ZCOSX 0n [2, 0] [8 marks] (4 marks) (4 marks) [12 marks] (5 marks) (3 marks) (4 marks) a. Sketch the graph of a function that satisfies all of the given conditions. Note that you need to make ONE graph that satisfies all the given conditions. fK>0ML1fTD=Q lim f (x) = 1, f(x) = f(x), xwo f"(x)01fx>3. b. Find lim \"'2'\" x>0 2x+2 sin 96' 2 10. For f(x) = xe'x , a. Give in interval notation the intervals where f is increasing and where f is decreasing. 1:). Give local maximum and local minimum values off. c. Give in interval notation, the intervals where f is concave up and concave down. Give the coordinates of the point(s) of inection