Question: The path of a total solar eclipse is modeled by f ( t ) = 0 . 0 0 3 6 5 t ^ 2

The path of a total solar eclipse is modeled by f

(

) = 0.00365

^2 - 0.484

35.588

where f

(

)

is the latitude in degrees south of the equator at t minutes after the start of the total eclipse. What is the latitude closest to the equator, in degrees, at which the total eclipse will be visible?

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