The Number of Major Crimes Committed in the City Between

question 100

Essay

The number of major crimes committed in the city between 1997 and 2004 is approximated by the function where N(t) denotes the number of crimes committed in year t ( corresponds to 1997). Enraged by the dramatic increase in the crime rate, the citizens, with the help of the local police, organized "Neighborhood Crime Watch" groups in early 2001 to combat this menace.
Show that the growth in the crime rate was maximal in 2003, giving credence to the claim that the Neighborhood Crime Watch program was working.

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Definitions:

Lactones

Cyclic esters formed by the intramolecular reaction of a hydroxy acid, commonly found in various natural products and fragrances.

Cyclohexyl Formate

An organic ester derived from cyclohexanol and formic acid, known for its use in fragrance and flavor compositions.

Trifluoroacetic Anhydride

A chemical reagent used in organic synthesis to introduce trifluoroacetyl groups into molecules.

IUPAC Name

A method endorsed by the International Union of Pure and Applied Chemistry for systematically naming chemical compounds.