Alex has been promoted to the “C.H.O.” (Chief Horse Officer) of Happy Mountain Horse Ranch. The ranch raises prime draft horses who compete in sled-dragging meets. To get the best performance from her horses, Janice knows that a certain amount of vitamins need to be added to the “horse chow” every day. The amount of vitamins that need to be added to the horse chow in grams each day is represented by: f(x)= -9×2 + 126x – 45 x=grams of horse vitamins Find the critical value for this function. In words, describe what this value means. Is this value the minimum or maximum amount of vitamins the horses need? Prove it. QUESTION 2 In the great coffee shop of the afterworld, two great thinkers sat to enjoy a discussion and a cup of coffee. Michel Foucault opened with this comment: “The main interest in life and work is to become someone else that you were not in the beginning. If you knew when you began a book what you would say in the end, do you think you would have the courage to write it? What is true for writing and love relationship is true also for life. The game is worthwhile insofar as we don’t know what will be at the end”. Edmund Husserl replied, “First, anyone who seriously intends to become a philosopher must “once in his life” withdraw into himself and attempt, within himself, to overthrow and build anew all the sciences that, up to then, he has been accepting. Philosophy wisdom is the philosophizer’s quite personal affair. It must arise as His wisdom, as his self-acquired knowledge tending toward universality, a knowledge for which he can answer from the beginning, and at each step, by virtue of his own absolute insights.” The barista of the coffee shop, David Bohm, stopped by and said, “Wow, this sounds like the great start to a dialogue!!” Think through these two famous quotes….and then discuss: What are Foucault and Husserl trying to tell us? What are the possible synergies between these two philosophical perspectives? Why would doctoral students care about these perspectives?