A bottle of juice with a temperature of 95°F was taken off a shelf and placed in a cooling unit with an internal temperature of 30°F. After ten minutes, the internal temperature of the juice was 80°F. Therefore our model would be: T(t) =65e¬0.026t +30. To the nearest degree, what will the temperature of the juice be after 40 minutes? Do not enter "°F" in the answer box.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.