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
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
In this case a= 0.00223, b= - 0.558 and c= 41.395.
The minimum value of f(t)
when
=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
we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
<u>see the attached figure to better understand the problem</u>
therefore
<u>the answer is</u>
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
Answer:
Tangent at (1,2) has value . And (-2, 4) is the point of intersection of horizontal tangent.
Step-by-step explanation:
Given curve equation,
To find tangent at (x,y)=(1,2) and point of intersection of horizontal tangent, differentiate (1) withrespect to x we get,
At (1, 2), tangent line is,
To find point of intersection of horizontal tangent we have to do,
Thus,
At x=0, y=0
but snce,
at (0,0) there exist a vertical tangent. And,
At x=-2, y=4.
Thus (-2, 4) is the point of intersection of horizontal tangent.