Evaluate the logarithm without the use of a calculator.log9 

A. 3
B. -81
C. -3
D. 81


Answer: C

Mathematics

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Use the method of variation of parameters to solve the differential equation.D2y + 4Dy + 4y = 16

A. y = C1e2x + C2e2x + 4 B. y = C1e-2x + C2e-2x C. y = C1e-2x + C2e-2x - 4 D. y = C1e-2x + C2e-2x + 4

Mathematics

Solve the problem.The tooth geometry for a particular saw blade is modeled by the following functional relationship between the tooth height, f(x), relative to an imaginary flat edge, and the distance, x, along that reference edge:Find ao, three nonzero cosine terms (if they exist), and three nonzero sine terms (if they exist) of the Fourier series for this geometrical definition.

A. f(x) = 1 -  
B. f(x) = 1 + 
C. f(x) = 1 + 
D. f(x) = 1 - 

Mathematics

Find the least common multiple (LCM) of the pair of numbers.14 and 7

A. 7 B. 98 C. 686 D. 14

Mathematics

The intensity I of a light a distance x meters beneath the surface of a lake decreases exponentially. If the light intensity at 6 meters is 83% of the intensity at the surface, at what depth will the intensity be 34% (in meters)? ? Round your answer to the nearest meter. ? __________ meters

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

Mathematics