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1.8 Integration

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Question 64

Determine $dt\int \left( 10t^4 - \frac{6}{\sqrt[3]{t}} \right) \, dt$ .

[3]

The rate of change of the mass, $M$ grams, of a synthetic crystal with respect to time, $t$ hours, is modeled by the differential equation

\frac{dM}{dt} = 10t^4 - \frac{6}{\sqrt[3]{t}}, \quad t > 0

After 8 hours of growth, the mass of the crystal is measured to be 65520 grams.

Find an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration

160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.8 Integration

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1.8 Integration

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Question 64

Determine $dt\int \left( 10t^4 - \frac{6}{\sqrt[3]{t}} \right) \, dt$ .

[3]

The rate of change of the mass, $M$ grams, of a synthetic crystal with respect to time, $t$ hours, is modeled by the differential equation

\frac{dM}{dt} = 10t^4 - \frac{6}{\sqrt[3]{t}}, \quad t > 0

After 8 hours of growth, the mass of the crystal is measured to be 65520 grams.

Find an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration