What does exponential decay mean?

Answer 1
It means that it can be modeled by the function of the form #f(t)=Ce^{kt}#, where C is the initial quantity and #k# is a negative constant. (Remark: It is exponential growth is #k# is a positive constant.)

A quantity decays exponentially when the rate of decay is proportional to the quantity itself.

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Answer 2

Exponential decay refers to the process in which a quantity decreases over time at a rate proportional to its current value. In other words, the rate of decrease of the quantity is proportional to the amount of the quantity present. This decay is characterized by a continuous decrease, where the larger the quantity at a given time, the faster it decreases. It is often represented by exponential functions of the form ( y = ae^{-kt} ), where ( y ) is the quantity at time ( t ), ( a ) is the initial quantity, and ( k ) is the decay constant, determining the rate of decay.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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