Use the binomial theorem to expand the expression.(x + y)4

A. x4 + 4x3y + 4x2y2 + 4xy3 + y4
B. x4 + 4x2y2 + y4
C. x4 + 4x3y + 6x2y2 + 4xy3 + y4
D. x4 + 4x3 + 6x2 + 4x + 1


Answer: C

Mathematics

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Calculate the derivative of the function. Then find the value of the derivative as specified.f(x) = ; f '(-1)

A. f '(x) = - ; f '(-1) = -8
B. f '(x) = ; f '(-1) = 8
C. f '(x) = 8; f '(-1) = 8
D. f '(x) = - 8x2; f '(-1) = - 8

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Convert the percent to a fraction.12.666. . .%

A.
B.
C.
D.

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Use the limit comparison test to determine if the series converges or diverges.

A. Converges B. Diverges

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Consider below the branching tree diagram based on the number per 3000 American adults. LetT = the set of Americans who like classical music R = the set of Republicans who like classical music D = the set of Democrats who like classical music I = the set of Independents who like classical musicDetermine whether the statement is true or false.Let M = the set of Independent men who like classical music  W = the set of Independent women who like classical musicThe set of elements in M and W combined is equal to set I.

A. True B. False

Mathematics