Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
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An object at temperature 200°C is placed in an environment where the ambient temperature increases linearly according to Ta(t)=20+2tT_a(t) = 20 + 2t degrees Celsius. If Newton's law of cooling applies with cooling constant k=0.1k = 0.1 min−1^{-1}, which differential equation correctly models the object's temperature T(t)T(t)?
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