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1.8 Integration

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Question 89

The mass of a biochemical sample $M$ (measured in milligrams) varies over time $t$ (measured in seconds, $t > 0$ ) according to a growth model. The mass-time curve passes through the point $P (4, 15)$ .

Given that

\frac{\mathrm{d} M}{\mathrm{d} t} = \frac{5t^2 - 40}{2\sqrt{t}}

Determine the equation of the tangent to the curve at the point $P$ , writing your answer in the form $M = k t + c$ , where $k$ and $c$ are integers to be found.

[3]

Find the function $M (t)$ .

[6]

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 89

Given that

\frac{\mathrm{d} M}{\mathrm{d} t} = \frac{5t^2 - 40}{2\sqrt{t}}

Determine the equation of the tangent to the curve at the point $P$ , writing your answer in the form $M = k t + c$ , where $k$ and $c$ are integers to be found.

[3]

Find the function $M (t)$ .

[6]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration