The number N of bacteria in a refrigerated food is given byN(T) = 20T2 − 80T + 500, 2 ≤ T ≤ 14where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given byT(t) = 4t + 2, 0 ≤ t ≤ 3 where t is the time in hours. a. Find and interpret (N ∘ T)(t). b. Find the time when the bacteria count reaches 2000.

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Q: If y = f(x) is the solution of æy' + 13y – axy? = 0, f(1) = 12/a, where a + 0 is a re а, number,…

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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.