Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the x-axis and the curve y = 3sin x, 0 ? x ? ?
A. =
,
=
B. =
,
=
C. =
,
=
D. = ?,
=
Answer: C
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Find a pattern and use it to solve the problem.Find the next term: 20, 4, 16, 6, 10, 8
A. 18 B. 6 C. 2 D. 0
Solve.An object's weight is a downward force due to gravity and is calculated by multiplying the object's mass by the acceleration due to gravity, which is constant American mass units are slugs (s) and force units are pounds (lb.). Find the weight of a person with a mass of 3.8 slugs on Earth if the acceleration constant on Earth is -32.2 ft/sec2.
A. -0.12 lb. B. -28.4 lb. C. -122.36 lb. D. -1223.6 lb.
Solve the equation in the complex number system.x3 - 125 = 0
A. {5, - -
i, -
+
i}
B. {5, -5i, 5i}
C. {5}
D. {5, - -
, -
+
}
Solve the problem.A woman deposits $286 in the bank, and each month afterward deposits 3% more than the month before. Write the first four terms of the geometric sequence that gives the amount of her deposit each month.
A. $294.58; $303.42; $312.52; $321.90 B. $1.03; $1.06; $1.09; $1.13 C. $286; $858; $2574.00; $7722.00 D. $286; $294.58; $303.42; $312.52