Write as the sum and/or difference of logarithms. Express powers as factors.log3

A. - 3log3x
B. log3x - 3
C. 9 -  log3x
D. log3x - 3


Answer: B

Mathematics

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Find the Maclaurin series for f(x) by use of a known series and then use it to calculate f(4)(0).f(x) = e2x sin x

A. 12 B. 24 C. 36 D. 6

Mathematics

Solve the problem.Let y(t) be the population of a species of plant that is being harvested, for t ? 0. Consider the harvesting model   where h is the annual harvesting rate, y0 is the initial population of the species, and t is measured in years. If y0 = 2000, what harvesting rate should be used to maintain a constant population of y = 2000, for t ? 0?

A. h = 4 yr-1 B. h = 10 yr-1 C. h = 100 yr-1 D. h = 2000 yr-1

Mathematics

Factor.24x7y8 - 120x5y6 + 36x3y4

A. 12x3(2x4y8 - 10x2y6 + 3y4) B. 12(2x7y8 - 10x5y6 + 3x3y4) C. No common factor D. 12x3y4(2x4y4 - 10x2y2 + 3)

Mathematics

Factor completely. If the polynomial cannot be factored, say it is prime.5x2 - 5x - 30

A. (5x + 10)(x - 3) B. 5(x + 2)(x - 3) C. 5(x - 2)(x + 3) D. prime

Mathematics