Harder exponential growth and decay (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
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10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is the formula for exponential growth?
What is the formula for exponential growth?
y = Ae^{kx}
Which equation models radioactive decay?
Which equation models radioactive decay?
∆M/dt = -kM
What does k represent in growth models?
What does k represent in growth models?
Rate of change
What does Newton's Law of Cooling describe?
What does Newton's Law of Cooling describe?
Temperature change
What is the general form of decay equations?
What is the general form of decay equations?
y = Ae^{-kx}
What does the equation dN/dt = kN model?
What does the equation dN/dt = kN model?
Population growth
What is the solution to dN/dt = k(N - P)?
What is the solution to dN/dt = k(N - P)?
N = P + Ae^{kt}
What is a key application of differential equations?
What is a key application of differential equations?
Predicting future values
What does the term 'exponential functions' refer to?
What does the term 'exponential functions' refer to?
Continuous change
What is the effect of increasing k in growth models?
What is the effect of increasing k in growth models?
Faster growth