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1.7 Integration

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Question 93

The altitude $H\,$ of a research drone, measured in kilometres, is modelled by the curve $C\,$ with equation $H = f (t)$ for $t > 0$ , where $t\,$ is the time in hours since it reached a specific tracking station.

Given that

$\dfrac{(t - 4)(3t + 2)}{4\sqrt{t}}$
the point $P (4, 10)$ lies on $C$

find the equation of the normal to $C\,$ at $P$ , giving your answer in the form $H = m t + c$ where $m\,$ and $c\,$ are constants to be found.

[4]

find $f (t)$ , giving each term in simplest form.

[6]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

Question bank

1.7 Integration

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Question 93

Given that

$\dfrac{(t - 4)(3t + 2)}{4\sqrt{t}}$
the point $P (4, 10)$ lies on $C$

find the equation of the normal to $C\,$ at $P$ , giving your answer in the form $H = m t + c$ where $m\,$ and $c\,$ are constants to be found.

[4]

find $f (t)$ , giving each term in simplest form.

[6]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration