The number of major crimes committed in the city  of Bronxville between 1997 and 2004 is approximated by the function

?

 where  denotes the number of crimes committed in year  ( corresponds to 1997). Enraged by the dramatic increase in the crime rate, the citizens  of Bronxville, 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 2002, giving credence to the claim that the Neighborhood Crime Watch program was working.



What will be an ideal response?


The crime rate is . Derivative of the function of crime rate . It equals zero when . Therefore the growth in the crime rate was maximal in 2002.

Mathematics

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Evaluate the derivative at the given value of x.y = ; x = 3

A. 2
B.
C. - 
D. - 

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Solve.A mechanic has logged the following number of hours in training apprentices during 15 training sessions.7.259.506.755.756.506.507.258.007.258.509.257.758.759.256.50(a) Find the mean for the hours logged.(b) Find the median for the hours logged.(c) If the mechanic earns $38 per hour to train an apprentice, how much does he earn for the median hours logged?

A. (a) 7.25, (b) 8.00, (c) $294.50 B. (a) 7.65, (b) 7.25, (c) $275.50 C. (a) 7.35, (b) 7.25, (c) $275.50 D. (a) 7.85, (b) 7.75, (c) $294.50

Mathematics

Evaluate the expression.(-4)3

A. -64 B. -12 C. 12 D. 64

Mathematics

Solve the absolute-value inequality.|7k + 4| + 5 < 7

A. ?
B. , or  
C. , or  ?  
D. , or 

Mathematics