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Imagine that the rate of a chemical reaction only depends on the concentration of a single chemical A, with concentration denoted by [A]. The reaction is called mth order with respect to [A] if it satisfies a rate equation of the following type
-\frac{d[A]}{dt} =k[A]^m
Solve these differential equations to see how a minus sign can change the answer
Match the descriptions of physical processes to these differential equations.
Look at the advanced way of viewing sin and cos through their power series.