Height vs. volume The gure shows six containers, each of which is lled from the top. Assume water is poured into the containers at a constant rate and each container is filled in 10 5. Assume also that the horizontal cross sections of the containers are always circles. Let h(t) be the depth of water in the container at time t, for 0 g t g 10. a. For each container, sketch a graph of the function y 2 Mt), for D g t g 10. b. Explain why h is an increasing function. c. Describe the concavity of the function. Identify inection points when they occur. d. For each container, where does 11' (the derivative of h) have an absolute maximum on [0, 10]? {A} (B) (C)