Question #67f1f

1 Answer
P dilip_k
Jul 15, 2017

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

enter image source here

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