Question

Outside temperature over a day can be modelled as a sinusoidal
function. Suppose you know the high temperature for the day is 80
degrees and the low temperature of 50 degrees occurs at 4 AM.
Assuming t is the number of hours since midnight, find an equation
for the temperature, *D*, in terms of t.

D(t)=

Answer #1

**MATLAB Code for
the below plot:**

close all

clear

clc

t = 0:0.01:50;

D = 15*sin(pi/12 * (t + 14)) + 65;

plot(t,D), xlabel('t'), ylabel('D(t)')

axis([min(t) max(t) 40 90])

grid on

**Plot:**

Outside temperature over a day can be modelled as a sinusoidal
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x
0
2
4
6
8
10
12
y
-2
-5
-2
1
-2
-5
-2
y=
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