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CalculusHardContextual Applications of Differentiation

Contextual Applications of Differentiation · Hard problem

A cup of coffee cools so that its temperature H(t) ∘H(t)\ ^\circF after tt minutes has H(10)=140H(10)=140 and H′(10)=−3H'(10)=-3, and the cooling graph is concave up. Estimate H(12)H(12) with a tangent line, and state whether it is an over- or under-estimate with reasoning.