tmua.me Medium Set B Paper 1 · Question 18

tmua.me papers

tmua.me Medium Set B Paper 1 · Q18

Paper 1Geometry

During the first $3$ minutes after a tap is opened, the volume of water in a tank is modelled by

V(t)=t^3+3,

where $V$ is measured in litres and $t$ in minutes.

At $t=a$ , the instantaneous rate of increase of the volume equals the average rate of increase over those first $3$ minutes.

What is $a$ ?

1

\dfrac32

\sqrt3

\sqrt{\dfrac{10}{3}}

3

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