Michael Kasha of Florida State University used physics and mathematics to design a new classical guitar. The model he used for the frequency of the vibrations on a circular plate was
?
,
?
where ? is the frequency (in vibrations per second), t is the plate thickness (in millimeters), d is the diameter of the plate, E is the elasticity of the plate material, and ? is the density of the plate material. For fixed values of d, E and ? the graph of the equation is a line (see figure).
?
Estimate the frequency when the plate thickness is 2 millimeters.
?
A. Around 433
B. Around 333
C. Around 533
D. Around 233
E. None of these
Answer: B
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For the given pair of functions, find the requested function.f(x) = 5x2 - 4x + 6 and g(x) = x - 1; (f ? g)(x)
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A. (-2, 8)
B. [-8, -2]
C. (-?, 2] ? [8, ?)
D. (2, 8)
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