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.

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.

1.11.2 Integrating standard functions

Question 109

Markscheme

1.11.2 Integrating standard functions

Question 109

Markscheme

1.11.2 Integrating standard functions

Question 109

1.11.2 Integrating standard functions Questions

1.11.2 Integrating standard functions

Question 109

1.11.2 Integrating standard functions Questions