Question: (A) (B) (C) (D) (E) (F)61. Height vs. volume The figure shows six containers, each of which is filled from the top. Assume water is

 (A) (B) (C) (D) (E) (F)61. Height vs. volume The figureshows six containers, each of which is filled from the top. Assumewater is poured into the containers at a constant rate and each
container is filled in 10 s. Assume also that the horizontal crosssections of the containers are always circles. Let h(t) be the depthof water in the container at time t, for 0 S t

(A) (B) (C) (D) (E) (F)61. Height vs. volume The figure shows six containers, each of which is filled from the top. Assume water is poured into the containers at a constant rate and each container is filled in 10 s. 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 S t S 10 b. Explain why h is an increasing function. 0. Describe the concavity of the function. Identify inflection points when they occur

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