The value of A and B is 5 , 10 ;The average temperature for first ten hours is -7.466 degree F ; an expression for the rate that the temperature is changing with respect to h ; dt/dh = +B sin ((pi*h)/12)
<h3>What is a Function ?</h3>
A function is a mathematical statement used to correlate two variables.
The function given is
T(h) = - A - B * cos((pi*h)/12)
T is the temperature in degrees Fahrenheit and
h is the number of hours from midnight (0 <= h <= 24)
a. The initial temperature at midnight was - 15 degrees * F and
at Noon of New Year's Day it was 5 degrees * F
At midnight h = 0
T(h) = -15 degrees F
-15 = -A-B* cos 0
-15 = -A-B
A+B = 15------------------- (1)
At noon , h = 12 , T(h)= 5
- A - B* cos(pi) = 5
-A - B (-1) = 5
B -A = 5 ----------------------- (2)
Solving equation 1 and 2
2B = 20
B = 10
A = 5
The value of A and B is 5 , 10
The average temperature for first ten hours is -7.466 degree F
Find an expression for the rate that the temperature is changing with respect to h
dt/dh = +B sin ((pi*h)/12)
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is only defined for 
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