detailed solution

4. Using the graphing strategy discussed in class. sketch a graph of the function [12] 1 f(1'} = 6(3' 4}\"1'5 + 3(1: 4W". Label any intercepts. relative extrema. points of inflection. holes. and asymptotes. Identify the intervals where f is increasing. decreasing Eoncave up. and Concave down. Show your steps for nding and simplifying fir) and f\"(z). 5. The total number of chickens in a farm infected with bird Flu is modeled by the funCtin 12 W) = i , t > n 1 + WEE[\"21E where t. is the number of days after the day an infraction was rst ideutied. (a) Determine whether Fm is an increasing function or a decreasing function using [4] the rst derivative. Interpret what this means in the context of the problem. (b) Solve Jfor the second derivative of F6). Given that the only critical number of [4] In the second derivative is at l'. = ' determine the intervals where the graph of F is concave up and where it is concave down. Interpret what these mean in the context of the problem. (c) What do you think will be the value of the llim F(t) ? Justify your answer and [4] interpret this in the context of the