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1.11.2 Integrating standard functions

1.11.2 Integrating standard functions

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Question 78

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

Given that f′(x)=2x−5+18x2f'(x) = 2\sqrt{x} - 5 + \frac{18}{x^2}f′(x)=2x​−5+x218​

a.

find the equation of the normal to C at P. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, bbb and ccc are integers to be found.

[4]
b.

Find f(x)f(x)f(x).

[4]
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1.11.2 Integrating standard functions Questions

  1. A Level
  2. /Maths
  3. /1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

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