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1.7 Integration

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Question 54

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

1.7 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 54

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

1.7 Integration Questions

A Level
Maths
1.7 Integration