Mathematics (AS & A Level) · Oct / Nov 2022 · Paper 33 · Question 10
9709
As printed in the paper
The question as text
A gardener is filling an ornamental pool with water, using a hose that delivers 30 litres of water per minute. Initially the pool is empty. At time t minutes after filling begins the volume of water in the pool is V litres. The pool has a small leak and loses water at a rate of 0.01V litres per minute. The differential equation satisfied by V and t is of the form dV dt = a −bV.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
10(a)[1]
10(b)[6]
10(c)[2]
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.