Exponential Models and Applications (VCE SSCE Mathematical Methods): Flashcards

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Exponential Models and Applications
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General exponential model formula

A=A0btA = A_0b^t

What b>1b > 1 indicates in exponential model

Exponential growth

What b<1b < 1 indicates in exponential model

Exponential decay

Cell growth formula

N=N02tTDN = N_0 2^{\frac{t}{T_D}}

Meaning of TDT_D in cell growth formula

Generation time (time for one cell to divide into two)

Radioactive decay formula

A=A02ktA = A_0 2^{-kt}

Definition of half-life

Time required for half of the radioactive material to decay

Definition of limiting value of function ff

Real number \ell that f(x)f(x) approaches as xx \to \infty

Half-life formula in terms of decay constant kk

t=1kt = \frac{1}{k}

Purpose of exponential regression

Find best-fitting exponential model for data

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