Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (6 cos 3t)i +(6 sin 3t) j + 18tk, 0 ? t ? 2?; ?(x, y, z) = 1(1 + sin 3t cos 3t)

A.
B.
C.
D.


Answer: D

Mathematics

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Simplify.

A. 4 B. 128 C. 8 D. 64

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Graph the system of linear inequalities and indicate the solution set.2x + 3y ? 6x - 3y ? 3 

A.

B.

C.

D.

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Solve the problem.The logistic growth function f(t) =  describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?

A. 760 butterflies B. 1520 butterflies C. 9 butterflies D. 80 butterflies

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Solve the problem.A punch recipe calls for 9 gallons of juice. How many liters is that? Round to the nearest tenth of a liter. 

A. 34 L B. 8.6 L C. 2.3 L D. 9.5 L

Mathematics