Find all vertical asymptotes of the given function. f(x) = 

A. x = 0, x = -5, x = 5
B. x = 0, x = -25
C. x = -5, x = 5
D. x = 0


Answer: D

Mathematics

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Determine whether the Fourier series of the given function will include only sine terms, only cosine terms, or both sine terms and cosine terms.f(x) = 5 - x2 -9 ? x < 9

A. both sine and cosine terms B. only sine terms C. only cosine terms

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Subtract.(3a3b5 - 5a4b2 + 9ab3 - 7ab + 14) - (11b5a3 - a4b2 + 11ab3 - 3)

A. -5a3b5 - 7a4b2 - 20ab3 - 7ab + 11 B. 8a3b5 - 4a4b2 - 20ab3 - 6ab + 11 C. -8a3b5 - 4a4b2 + 2ab3 + 7ab + 15 D. -8a3b5 - 4a4b2 - 2ab3 - 7ab + 17

Mathematics

Assume that a survey of 272 people is taken to determine the opinions of doctors, teachers, and lawyers on a proposed piece of legislation, with the results as shown below. A person is chosen at random from those surveyed. Refer to the table to find the probability the person favors the legislation.  Number that favorNumber that opposeNumber with no opinionTotalDoctors722914115Teachers821812112Lawyers20151045Total1746236272? Please round the answer to the nearest hundredth.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the eigenvalues of the given matrix.

A. -2, 4 B. -2 C. -4 D. -2, -4

Mathematics