A chemical reaction produces heat

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A chemical reaction produces heat, and the rate of heat production H′(t)H'(t) (in joules per minute) satisfies: H′(t)>0H'(t)>0 for 0<t<40<t<4, H′(4)=0H'(4)=0, and H′(t)<0H'(t)<0 for t>4t>4. What practical conclusion can be drawn about the temperature of the reaction mixture at t=4t=4 minutes?

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