Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus

Support Explain that if the rate of change of a positive quantity Q over time t is proportional to the size of Q, then this may be represented by dQ/dt = kQ where k is the constant of proportionality, and if k > 0 the quantity Q is increasing at a rate proportional to the value of Q at time t, while if k the quantity Q is decreasing at a rate proportional to the value of Q at time t

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

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Prerequisite dot points