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
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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
Determine whether the given function satisfies a Laplace equation.f(x, y) = cos(x) sin(-y)
A. Yes B. No
Answer each question appropriately.Suppose that = 15. Find
, if f is even.
A. -75 B. 75 C. -15 D. 15
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