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1.7 Integration

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Question 85

The vertical profile of a survey drone is modeled by a curve $C$ with equation $h = f (t)$ , $t > 0$ , where $h$ is the altitude in meters and $t$ is the time in seconds. The drone passes through the point $P (4, 10)$ .

Given that $f′(t)=3t+2−16t2\displaystyle f'(t) = 3\sqrt{t} + 2 - \frac{16}{t^2}$

Find the equation of the normal to $C$ at $P$ . Write your answer in the form $a t + bh + c = 0$ , where $a$ , $b$ and $c$ are integers to be found.

[4]

Find $f (t)$ .

[4]

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

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1.7 Integration

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Question 85

Given that $f′(t)=3t+2−16t2\displaystyle f'(t) = 3\sqrt{t} + 2 - \frac{16}{t^2}$

Find the equation of the normal to $C$ at $P$ . Write your answer in the form $a t + bh + c = 0$ , where $a$ , $b$ and $c$ are integers to be found.

[4]

Find $f (t)$ .

[4]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration