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The Height H, in Feet, of a Certain Tree Increases

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The height h, in feet, of a certain tree increases at a rate that is inversely proportional to time t, in years. The height of the tree is 8 feet at the end of 3 years, and reaches 23 feet at the end of 6 years. Write a differential equation describing the rate of change of the height of the tree, where k is the constant of proportionality (to be determined) .

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Definitions:

Availability Heuristic

An instinctive heuristic that uses the readily accessible instances that occur to someone as they assess a distinct theme, notion, strategy, or judgement.

Unusual Uses Test

An assessment of creativity that asks individuals to list as many uses as possible for a common object within a given time frame.

Remote Associates Test

A creativity test that measures the ability to see relationships between seemingly unrelated words and to generate a word that is linked to all three.

Divergent Thinking

A thought process or method used to generate creative ideas by exploring many possible solutions, emphasizing spontaneity and non-linear approaches.

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