The temperature $T$ °C of a drink, $t\,$ minutes after it is poured, is modelled by

$T=20+80e^{-0.2t}$ .

Show that the time at which $T = 35$ satisfies

$20+80e^{-0.2t}-35=0$ .

Starting with $t_0=8$ , use Newton–Raphson iteration to find $t_1$ , $t_2\,$ and $t_3$ . Give each value to six decimal places.

State the time, to the nearest second, at which the model predicts that the drink reaches 35 °C.

The temperature $T$ °C of a drink, $t\,$ minutes after it is poured, is modelled by

$T=20+80e^{-0.2t}$ .

Show that the time at which $T = 35$ satisfies

$20+80e^{-0.2t}-35=0$ .

Starting with $t_0=8$ , use Newton–Raphson iteration to find $t_1$ , $t_2\,$ and $t_3$ . Give each value to six decimal places.

State the time, to the nearest second, at which the model predicts that the drink reaches 35 °C.

3 Unit A2 1: Pure Mathematics (A-level only)

3 Unit A2 1: Pure Mathematics (A-level only) Questions