Solve the problem.Find the center of mass of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve
if
.
A. =
,
=
B. =
,
=
C. =
,
=
D. =
,
=
Answer: D
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Solve the application. Write an expression to describe the situation and simplify the expression for the final answer.Nikki is fishing from a bank 18 feet above water level. In this location, the fish tend to feed at 40 feet below the surface. How long must Nikki's fishing line be to reach the fish?
A. 18 - (-40) = 58; Nikki's fishing line must be 58 feet long. B. 18 - (-40) = -18; Nikki's fishing line must be -18 feet long. C. 18 - (40) = -22; Nikki's fishing line must be -22 feet long. D. 18 - (40) = 22; Nikki's fishing line must be 22 feet long.
Convert the units.167 g = kg
A. 0.0167 kg B. 16,700 kg C. 0.167 kg D. 167,000 kg
Find the midpoint of the line segment joining the points P1 and P2.P1 = (4, -8); P2 = (-4, 5)
A.
B.
C.
D.
Express the given function H as a composition of two functions f and g such that H(x) = (f ? g)(x).H(x) =
A. f(x) = 9, g(x) =
B. f(x) = , g(x) = 9
C. f(x) = , g(x) = 5x + 10
D. f(x) = , g(x) = 5x + 10