Q1 (2 points) dy Let yt = x. Calculate Explain your answer fully. (Hint: Use logarithmic differentiation.) dx Q2 (2 points) You are walking away from a 4.5m tall lamp post at a rate of 6km/hr. If you are 1.5m tall, how fast is the length of your shadow increasing? Fully explain your answer. Q3 (2 points) Let f(x) = (x x) . Find the absolute maximum and minimum points of f(x) on the interval [5, 2]. Show all steps. Q4 (1 point) Let f(x) be a continuous function. If f(1) = 3 and f'(x) -3 for all x ER, what is the maximum possible value of f(5)? Briefly explain your answer.