Find the Taylor polynomial of order 3 centered at 0.f(x) = 

A. p3(x) =  -  +  - 
B. p3(x) =  +  +  + 
C. p3(x) =  -  +  - 
D. p3(x) =  +  +  + 


Answer: D

Mathematics

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Determine when the Hamilton method gives an Alabama paradox on increasing committee size and who loses a seat.City A, City B, and City C are cooperating to build a community center catering to the three cities. Seats on the 7-member committee are assigned according to the populations of the cities. The population of City A is 7755, City B is 6105, and City C is 2640. Increase the committee's size by one seat at a time and reassign the seats. 

A. Assignment of 11th seat; City C B. Assignment of 10th seat; City A C. Assignment of 10th seat; City C D. Assignment of 12th seat; City C

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Solve the system by substitution.x - 7y = 6  x = 8y

A. {(6, 48)}
B. {(-48, -6)}
C.
D. {(48, 6)}

Mathematics

Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438 B. 0.487 C. 0.91 D. 0.856

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Match the graph of the parabola with the appropriate equation.

A. y = x2 + 4 B. y = x2 - 4 C. x = y2 + 4 D. x = y2 - 4

Mathematics