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1.11.2 Integrating standard functions

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Question 67

A researcher determines that the rate of expansion of a specialized polymer, $V\,$ mm $^3$ , with respect to time $t\,$ seconds, is modeled by the equation:

\frac{dV}{dt} = 30t^5 + 16t^3 - \frac{14}{t^8}, \quad t > 0

Find a general expression for $V\,$ in terms of $t$ , 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 67

A researcher determines that the rate of expansion of a specialized polymer, $V\,$ mm $^3$ , with respect to time $t\,$ seconds, is modeled by the equation:

\frac{dV}{dt} = 30t^5 + 16t^3 - \frac{14}{t^8}, \quad t > 0

Find a general expression for $V\,$ in terms of $t$ , 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.