Harder exponential growth and decay (HSC SSCE Mathematics Extension 1): Flashcards
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Practise the cards
10 cards from this deck
What is the formula for exponential growth?
What is the formula for exponential growth?
y = Ae^{kx} represents exponential growth.
What is the formula for exponential decay?
What is the formula for exponential decay?
y = Ae^{-kx} represents exponential decay.
What does dy/dx = ky model?
What does dy/dx = ky model?
It models the rate of exponential growth or decay.
What does dM/dt = -kM represent?
What does dM/dt = -kM represent?
It models radioactive decay over time.
What does dN/dt = kN model?
What does dN/dt = kN model?
It models bacterial growth in a dish.
What is Newton's Law of Cooling equation?
What is Newton's Law of Cooling equation?
dT/dt = -k(T - T_surrounding).
How does starting conditions affect outcomes?
How does starting conditions affect outcomes?
They influence the solution of differential equations.
What is the significance of N = P + Ae^{kt}?
What is the significance of N = P + Ae^{kt}?
It shows balance or changes in population dynamics.
What is a practical application of exponential models?
What is a practical application of exponential models?
They apply to cooling mugs or growing populations.
What is a key point about exponential functions?
What is a key point about exponential functions?
They indicate continuous rate change in various contexts.