Hi I need help with this 4 questions:

1.

2 f (ac ) = x2 + 1 a) Find the first and second derivatives. f'(2) = -(4x)/((x12+1)12) f"(2) = (12x^2-4)/((x^2+1)^3) b) Identify the graph that displays f in blue and f" in red.C + A. B C. 3 . K c) Using the graphs of f and f", indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for co and '-INF' for -co. And use 'U' for the union symbol.f\"(:c) = (12x"24)/((x'\\2+1)'\\3) a b) Identify the graph that displays f in blue and f\" in red. C c) Using the graphs of f and 1"", indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWorK, remember that: You use 'lNF' for 00 and l-|NF' for 00. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f is concave up on (-INF,2) 5 f is concave down on (-INF,-4) a Consider the function f (9:) = 9:4 98:232 + 9, Find the absolute minimum value of this function. Answer: 3 find the absolute maximum value of this function. Answer: a 65x315. Two straight highways, one running west to east and the other running north to south meet at an intersection. Car A is on the east-west highway 600 metres east of the intersection and is travelling east at 95 km/h. Car B is on the north-south highway 800 metres south of the intersection and is travelling north at 80 km/h. At what rate is the distance between the two cars changing at this moment? Hint: There are 1000 metres in one kilometre. O the distance is deceasing at a rate of 26 km/h 0 the distance is increasing at a rate of 7 km/h 0 the distance is deceasing at a rate of 7 km/h 0 the distance is deceasing at a rate of 28 km/h 0 the distance is increasing at a rate of 26 km/h A cylinder of diameter 80m and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.25cm per minute. What is the rate at which the volume of water is leaking from the cylinder, in centimetres cubed per minute, when the level of water is down to 3cm? Hint: The volume, V, of a cylinder of radius r and height his V = JTT'Zh