Solve the problem.In a particular situation, the pressure, P, exerted on a person's eardrum at a distance of 12 feet from the source is given by the function:  where n is a positive integer. Use the difference identity for cosine to simplify P(t).

A. P(t) =  cos (ct)
B. P(t) =  cos (ct + 12)
C. P(t) =  cos (ct) -  sin (ct)
D. P(t) = cos (ct)


Answer: A

Mathematics

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Solve the problem.Find the centroid of the rectangular solid defined by .

A.  =  = 1 = 2
B.  =  =  = 
C.  = , = 2 = 4
D.  = 5 = 4 = 8

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Determine whether the given function satisfies a Laplace equation.f(x, y) = cos(x) sin(-y)

A. Yes B. No

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Answer each question appropriately.Suppose that = 15. Find , if f is even.

A. -75 B. 75 C. -15 D. 15

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Solve the problem.Pat withdrew $495 from an ATM. If the ATM gives $100, $20, and $5 bills such that the total number of bills is the least, then how many of each type of bill did Pat get?

A. 4 $100-bills, 4 $20-bills, and 3 $5-bills B. 3 $100-bills, 9 $20-bills, and 3 $5-bills C. 5 $100-bills, zero $20-bills, and 3 $5-bills D. 4 $100-bills, 3 $20-bills, and 7 $5-bills

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