Simplify. If the answer is not a real number, state so. Assume all variables represent non-negative real numbers.

A. not a real number
B. 2.828
C. 1.414
D. -2


Answer: D

Mathematics

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A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number  such that for all x, 0 <  < ? ?  < ?.f(x) = -10x + 9, L = -1, x0 = 1, and ? = 0.01

A. 0.002 B. 0.004 C. -0.01 D. 0.001

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Find the logarithm using the change-of-base formula.log15 87.07

A. 0.6063 B. 5.8047 C. 1.9399 D. 1.6494

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Perform the indicated operation

An engineer needs to find the time it will take for his new computer to do 50 billion calculations. If it takes his new computer seconds to do one calculation, how long will it take to do the 50 billion calculations? Leave your answer in scientific notation.

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Sketch the logarithmic function.f(x) = log1/3 (3 - x) + 2

A.

B.

C.

D.

Mathematics