Barrons AP Calculus - David Bock

(dmanu) #1

  1. (E) Since the water level rises more slowly as the cone fills, the rate of depth change is
    decreasing, as in (C) and (E). However, at every instant the portion of the cone containing
    water is similar to the entire cone; the volume is proportional to the cube of the depth of the
    water. The rate of change of depth (the derivative) is therefore not linear, as in (C).

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