Year 12 Maths Extension 1 (2027)

Further applications of calculus

12 subtopics

240+ questions

Subtopics

12 subtopics · Sorted by recommended order

1

Multiplicity of zeroes via calculus (P′ multiplicity, behaviour at roots)

20 questions

2

Related rates of change (chain rule; area/volume)

20 questions

3

Rate ∝ (Q−P); Newton’s Law of Cooling; Q = P + Ae^{kt}

20 questions

4

Areas between curves

20 questions

5

Volumes of solids of revolution

20 questions

6

Differential equations – introduction & order

20 questions

7

Slope (direction) fields

20 questions

8

Solve dy/dx = f(x)

20 questions

9

Solve dy/dx = g(y)

20 questions

10

Solve dy/dx = f(x)g(y) (separation of variables)

20 questions

11

Modelling with DEs (growth & decay)

20 questions

12

Logistic equation dP/dt = kP(1 − P/C)

20 questions