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1.11.2 Integrating standard functions

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Question 47

A marine biologist models the rate of change of the depth of a diving seal, $D$ (in metres), relative to time $s$ (in seconds) for $0\,$ using the following formula:

\frac{dD}{ds} = \frac{7s^3}{4} - \frac{3}{5\sqrt[3]{s^2}} + \frac{2}{7}

Determine the general equation for the depth $D\,$ in terms of $s$ , giving your answer 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 47

A marine biologist models the rate of change of the depth of a diving seal, $D$ (in metres), relative to time $s$ (in seconds) for $0\,$ using the following formula:

\frac{dD}{ds} = \frac{7s^3}{4} - \frac{3}{5\sqrt[3]{s^2}} + \frac{2}{7}

Determine the general equation for the depth $D\,$ in terms of $s$ , giving your answer 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.