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1.7 Integration

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Question 36

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

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

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1.7 Integration

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Question 36

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

1.7 Integration Questions

A Level
Maths
1.7 Integration