The temperature (in degrees Celsius) of a cup of tea cooling in a room obeys

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

The temperature

T

(in degrees Celsius) of a cup of tea cooling in a room obeys

\dfrac{dT}{dt}=-0.25\bigl(T-22\bigr)

, with

t

in minutes and

T(0)=92

. Approximate

T(0.8)

using two equal time steps of

0.4

minute. Provide your answer to the nearest tenth of a degree.