A Tank Is in the Shape of a Large, Inverted $H ^ { \prime } ( t )$

question 52

Essay

A tank is in the shape of a large, inverted (point-down) cone. Water is owing into the tank
at a constant rate. Let H (t) represent the height of the water level at time t.(a) Sketch a possible graph of H (t).(b) Describe how the rate of change of H with respect to t varies as t increases.(c) Sketch a graph of $H ^ { \prime } ( t )$

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Definitions:

Phi Phenomenon

An optical illusion of perceived continuous motion between separate objects viewed rapidly in succession, such as in motion pictures.

Name-Orientation Response

The behavior in which an individual reacts to hearing their name, often used as an indicator of attention or awareness.

Subliminal Perception

The processing of information by sensory systems without conscious awareness, typically used in the context of subliminal messages.

Experiences

Events or occurrences that leave an impression on someone, contributing to their knowledge or altering their perception in some way.