Factor the sum or difference of two cubes.27x3 - y3

A. (3x + y)(9x2 - 3xy + y2)
B. (3x - y)(9x2 + 3xy + y2)
C. (3x - y)(9x2 + y2)
D. (27x - y)(x2 + 3xy + y2)


Answer: B

Mathematics

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Solve the initial value problem.Differential Equation:  = 9t2i - tj Initial Conditions:  = -10i, r(0) = 7i  - 6k

A. r(t) = i - j - 6k
B. r(t) = i + j - 6k
C. r(t) = i - j - 6k
D. r(t) = i - j - 6k

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Solve the problem.Write an iterated triple integral in the order  for the volume of the rectangular solid in the first octant bounded by the planes , and .

A.
B.
C.
D.

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Solve the problem.Steve is 11% taller than Andy but proportioned in exactly the same way. If Andy is 70 inches tall, how tall is Steve?

A. 74 in. B. 81 in. C. 85 in. D. 78 in.

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Evaluate the improper integral or state that it is divergent.

A. 1.569 B. -1.569 C. Divergent D. 0.121

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