CAIE A Level Mathematics 9709 · Differential equations

Differential equations: calculation question

3 marksStandard

The volume of water, VV litres, in a tank at time tt minutes is increasing. The rate of increase of VV is directly proportional to tt. Initially the tank is empty. After 55 minutes, the volume is 2525 litres.

  1. (a)

    Find the constant of proportionality.

    [3]

Work it out, then check it

Your working is checked step by step against the answer key, with method marks, units and carried-forward errors handled the way a mark scheme handles them.

Answer this and get it marked, free

Free account, no card. Three marked written answers a day on the free plan.

How this question is marked

3 marks. Method marks are awarded for correct working even if the final answer is wrong, and a later part can still score if it correctly uses an earlier wrong answer.

More Differential equations questions

All Differential equations questions

Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.