Ok, so what this question is really asking you is: 
What is
and that equals 
Now because the the number is 2.4 plot that point
Y = sin x
y' = cos x
y'' = -sin x
y''' = -cos x
y'''' = sin x
Therefore, nth derivative of sin x = sin(nπ/2 + x)
1. first parabola is up, so a are going to be positive
y = a(x-r)(x-s),
roots -7,-3, so we can write y=a(x+7)(x+3) [1]
we can take point (-5,-2), substitute into equation [1], and find value of a
-2=a(-5+7)(-5+3)
-2=a*2*(-2)
a=1/2
so first parabola has an equation
y=1/2(x+7)(x+3)
2. second parabola
y=a(x-r)(x-s) roots are 2 and 4 so we ca write
y=a(x-2)(x-4) take point (3,4) and substitute into this equation
4 =a(3-2)(3-4)
4=-a
a=-4, and it will look down
y=-4(x-2)(x-4)
The horizontal asymptote is the limit of the temperature as time goes to infinity.
If we ignore the constant in the denominator, then

And the limit as t-> infinity is 0

This means the temperature will decrease over time approaching 98.6 in the long run.