Use a system of equations to solve problem.The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the 3 years considered. Number of dog collarsFind a function of the form f(x) = ax2 + bx + c that fits this data. Then, using this function, what would you predict the dog collar production of Allied Pet Products to be in 2007?

A. f(x) = 100x2 - 1600x + 40,000; 
82,000 collars
B. f(x) = 100x2 - 1600x + 20,000; 
62,000 collars
C. f(x) = 100x2 - 1600x - 20,000; 
22,000 collars
D. f(x) = 100x2 - 1600x + 35,000; 
77,000 collars


Answer: B

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 3yi + cos 8xj; C is the rectangle with vertices at (0, 0), , and 

A. 0
B. ?
C. - ?
D. - ?

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Use trigonometric identities to solve each equation in the interval [0, 2?]sin2 x - cos2 x = 0

A.
B.
C.
D.

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Perform the indicated operation.(9k5 + 3k4 - 8k3 + 4) + 

A. 13k5 + 12k4 - 12k3 + 8 B. 13k24 + 8 C. 13k10 + 12k8 - 12k6 + 8 D. 13k5 + 13k4 + 13k3 + 7

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Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the line y =  and on the right by the curves y = tan 2 x and y = cot 2 x. (Round to four decimal places.)

A. 0.3094
B. 4.3094
C.

0.5858

D. 0.4126

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