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9 cards from this deck
Modelling situations with different functions over different intervals
P(t)=P0⋅ertP(t) = P_0 \cdot e^{rt}P(t)=P0⋅ert
Growth/decay at a rate proportional to current value
Acceleration, projectile motion, any relationship with squared terms
h(t)=h0+v0t−12gt2h(t) = h_0 + v_0t - \frac{1}{2}gt^2h(t)=h0+v0t−21gt2
Situations where growth slows down over time
pH=−log[H+]pH = -\log[H^+]pH=−log[H+]
P(x)=R(x)−C(x)P(x) = R(x) - C(x)P(x)=R(x)−C(x)
Differentiate profit function and set to zero
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