1.7.2 Integration

The profile of a high-precision optical lens is modelled by a curve $C\,$ with equation $y = f (x)$ for $x > 0$ .

Given that

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

[4]

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

[5]

1.7.2 Integration Questions

The profile of a high-precision optical lens is modelled by a curve $C\,$ with equation $y = f (x)$ for $x > 0$ .

Given that

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

[4]

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

[5]