Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.5 +  +  + ...

A. Converges; 
B. Converges; 
C. Converges; 5
D. Diverges


Answer: A

Mathematics

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State the domain and range in interval notation.f(x) = -3x2 + 3x

A. domain: (-?, ?); range: 
B. domain: (-?, ?); range: 
C. domain: (-?, ?); range: 
D. domain: ; range: (-?, ?)

Mathematics

An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;T = 10 seconds

A. d = 5 cos (10t)
B. d = -5 cos 
C. d = -5 cos (10t)
D. d = 5 cos 

Mathematics

Solve the problem.A tunnel is to be constructed, 150 ft long and 60 ft wide at the base. The cross section is shaped like the curve   What is the surface area of the tunnel, neglecting the roadway? Give your answer to the nearest square foot.

A. 13,173 B. 13,974 C. 11,873 D. 10,944

Mathematics

Determine the domain and the range of the function.f(x) = x2 - 6x + 5

A. domain: all real numbers range: {y|y ? 4} B. domain: all real numbers range: all real numbers C. domain: {x|x ? -3} range: {y|y ? -4} D. domain: all real numbers range: {y|y ? -4}

Mathematics