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1.8 Integration

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Question 31

A synthetic crystal's mass growth rate, $dmdt\displaystyle \frac{dm}{dt}$ in grams per hour, is modeled by the equation:

\frac{dm}{dt} = \frac{15t^3 - 4}{5\sqrt{t}}, \quad t > 0

where $t\,$ is the time elapsed in hours. Determine the general expression for the mass $m\,$ in terms of $t$ , giving your answer in its simplest form.

[4]

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 31

A synthetic crystal's mass growth rate, $dmdt\displaystyle \frac{dm}{dt}$ in grams per hour, is modeled by the equation:

\frac{dm}{dt} = \frac{15t^3 - 4}{5\sqrt{t}}, \quad t > 0

where $t\,$ is the time elapsed in hours. Determine the general expression for the mass $m\,$ in terms of $t$ , giving your answer in its simplest form.

[4]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration