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Year 12 Maths Advanced (2027) Applications of calculus

Exponential Growth & Decay

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Question 1
188712
If a quantity satisfies \(\dfrac{dQ}{dt}=kQ\) (rate proportional to amount), then \(Q\) equals:
A.
\(Q=Ae^{kt}\)
B.
\(Q=A+kt\)
C.
\(Q=Akt\)
D.
\(Q=At^{k}\)
\(Q=Ae^{kt}\)

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