Answer:
Therefore the latitude closest to the equator is 6.49°(approx).
Step-by-step explanation:
Given the path of a solar ellipse is modeled by
[tex]f(t)=0.00223t^2-0.558t+41.395[/tex]
where f(t) is the latitude in degrees south of the equator at t minutes.
We know that ,
The minimum or maximum value of a function y(t) =at²+bt+c
is when [tex]t=-\frac{b}{2a}[/tex]
In this case a= 0.00223, b= - 0.558 and c= 41.395.
The minimum value of f(t)
when [tex]t=-\frac{( - 0.558)}{2\times 0.00223}[/tex]
=125.11
Therefore the latitude closest to the equator is
f(125.11)=0.00223(125.11)²-0.558×125.11+41.395
≈6.49
