Enrich · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus

Enrich Use dQ/dt = k(Q - P), Q = P + Ae^(kt) and the graph of Q = P + Ae^(kt) for t ≥ 0, where k > 0 or k and A > 0 or A, to model and solve problems where a limiting value of Q exists, including Newton’s Law of Cooling and ecosystems with a natural carrying capacity, and justify conclusions in the context of the problem

Extension and enrichment for students who are ready to go deeper: rich tasks, problem solving and open-ended challenges.

← Back to core resources

Enrichment for this dot point

No enrichment tasks tagged to this exact dot point yet.