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Exponential Decay Mathematical Investigation
Mathematical Methods
8 Pages • Essays / Projects • Year Uploaded: 2022
This mathematical investigation aims to explore exponential decay in the context of the rebound height of a ball having been released after a series of bounces. Exponential decay is a mathematical function expressed as π(π₯) = π Γ ππ. However, this foundation expression is adaptable in accordance with the relevant problem being investigated. When a quantity increases or decreases by a fixed percentage each time period, the quantity can be described using an exponential function. Within exponential functions, there are growth and decay functions, each exhibit a different interpretation of a dataset. For example, in relevance to the equation above, growth is present if π > 1, whereas a decay function is present when 0 < π < 1. The focus of this investigation will be on decay functions.
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