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1.11.2 Integrating standard functions

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Question 57

The rate of change of the volume of water, $V$ , being pumped into a reservoir is modeled by the equation

\frac{dV}{dt} = \frac{7t^2}{4} - \frac{5}{2t^4} + \frac{2}{3}

where $V$ is measured in cubic metres and $t$ is the time in hours since pumping began. Determine the general expression for $V$ in terms of $t$ , giving each term in its simplest form.

[4]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.2 Integrating standard functions

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1.11.2 Integrating standard functions

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Question 57

The rate of change of the volume of water, $V$ , being pumped into a reservoir is modeled by the equation

\frac{dV}{dt} = \frac{7t^2}{4} - \frac{5}{2t^4} + \frac{2}{3}

where $V$ is measured in cubic metres and $t$ is the time in hours since pumping began. Determine the general expression for $V$ in terms of $t$ , giving each term in its simplest form.

[4]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.