61. Height functions 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 lled in 10 3. Assume also that the horizontalcross sections of the containers are always circles. Let h(t) be the depth of water in the container attime t, for 0 S t S 10. a. For each container, sketch a graph of the functiony = Mt), for 0 S t S 10. b. Explain why h is an increasing function. 1:. Describe the concavity of the function. Identify inflection points when they occur. d. For each container, where does h' (the derivative ofh) have an absolute maximum on [0, 10]? [IVA (B) (C)