Further Applications of Calculus

We estimate ME12-CA is worth about 16 marks out of 100 under the new Mathematics Extension 1 syllabus. Practise 25 exam-style questions (multi-part, multiple choice, numerical answer, algebraic answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

The line $y = 2$ for $0 \leq x \leq 3$ is rotated about the $x$ -axis. What is the volume of the solid formed?

A $12$
B $12 π$
C $18 π$
D $6 π$

Example 2 · 2 marks · multi-part

A particle moves in a straight line with displacement $x = 2 t^{3} - 9 t^{2} + 12 t$ metres at time $t$ seconds.

Example 3 · 3 marks · multi-part

The mass of a radioactive substance satisfies $\frac{d M}{d t} = - k M$ . Its half-life is 30 years.

Answers and worked solutions appear when you practise these questions.

Further Applications of Calculus

Example questions

Other Mathematics Extension 1 topics