The path of a total solar eclipse is modeled by
The latitude closest to the equator at which the total eclipse will be visible is
Final Answer: The latitude closest to the equator at which the total eclipse will be visible is
Step 1 :The latitude closest to the equator at which the total eclipse will be visible is the minimum value of the function
Step 2 :The minimum value of a parabola with a positive leading coefficient (like this one, where the leading coefficient is 0.00301) occurs at its vertex.
Step 3 :The
Step 4 :So, we need to substitute
Step 5 :Then we substitute this time into the function
Step 6 :Final Answer: The latitude closest to the equator at which the total eclipse will be visible is