Question

Question #67f1f

Answer 1

Here the temperature varies in 24 hrs period from minimum value `60^@F` to maximum value `80^@F`. Hence its equilibrium value will be `(60^@+80^@)/2=70^@F`

So the variation of temperature may be modeled by follwing a sinusoidal function of amplitude `(80^@-70^@)=10^@F`

`f(x)=70+10sin((2pix)/24)=70+10sin((pix)/12)` in `""^@F`, where x is the time in hour.

The variation follows the following graph