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1.8 Integration

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Question 66

The curve C with equation $y = f (x)$ , $x > 0$ , passes through the point $P (9, 2)$ .

Given that $2\sqrt{x} - 5 + \frac{18}{x^2}$

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

[4]

Find $f (x)$ .

[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 66

The curve C with equation $y = f (x)$ , $x > 0$ , passes through the point $P (9, 2)$ .

Given that $2\sqrt{x} - 5 + \frac{18}{x^2}$

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

[4]

Find $f (x)$ .

[4]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration