Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Verify by substitution that the function Q = P + Ae^(kt), where A is a constant, satisfies the relationship dQ/dt = k(Q - P), and that Q = P in the case where A = 0
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Prerequisite dot points
Verify by substitution that the function Q = Ae^(kt) satisfies the relationship dQ/dt = kQ with A being the initial value of Q
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Graph the function Q = Ae^(kt), where k > 0 and k and A > 0 and A, with and without graphing applications, and identify any asymptotes
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Graph y = f'(x) and y = f''(x) for a function y = f(x), given only a graph of y = f(x)
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.