Factor the sum or difference of cubes.x3 - 125
A. (x - 5)(x2 + 25)
B. (x + 5)(x2 - 5x + 25)
C. (x - 5)(x2 + 5x + 25)
D. (x + 125)(x2 - 1)
Answer: C
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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 2tan , x = 0, y = -
A. 6? - ?2
B. 12? - 3?2
C. 12 - 3?
D. 3? + 3?2
Use l'Hopital's Rule to evaluate the limit.
A. -1
B. 1
C.
D. 0
Solve the problem.A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A. 3.7 ft × 3.7 ft × 3.7 ft B. 5.3 ft × 5.3 ft × 1.8 ft C. 4.6 ft × 4.6 ft × 2.3 ft D. 9.9 ft × 9.9 ft × 0.5 ft
Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.
A.
B.
C.
D.