Motion and Rates (HSC SSCE Mathematics Advanced): Flashcards

$e^x$

$ke^{kt}$ or $kQ$

$\frac{dQ}{dt} = kQ$

$Q = Q_0 e^{kt}$

Initial value at $t = 0$

$\frac{dM}{dt} = -kM$ ($k$ positive)

$M = M_0 e^{-kt}$

Time for exactly half of substance to remain

Use data points to create equation, solve with logarithms

Proportional to current value