Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the y-axisx = 2

A. ?
B. ?
C. ?
D. ?


Answer: C

Mathematics

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Factor the four-term polynomial by grouping.x3 + 2x2 + x + 2

A. (x2 + 1)(2x + 2) B. (2x2 + 2)(x + 1) C. (x2 + 1)(x + 2) D. (x2 + 2)(x + 1)

Mathematics

Solve the problem. Round your answer to the nearest tenth.The roof of a building is in the shape of the top half of the hyperbola y2 - x2 = 75, where x and y are in meters. Refer to the figure and determine the height h of the outside walls. ?  a = 9.0 m b = 9.0 m

A. 6.0 m B. 12.5 m C. 156.0 m D. 66.0 m

Mathematics

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.a = 1 ft, c = 30 ft

A. b ? 31 ft B. b ? 30.0 ft C. b = 29 ft D. b ? 5.4 ft

Mathematics

Find a general term an for the arithmetic sequence.a4 = 50, a18 = -20

A. an = -5n + 65 B. an = -4n + 70 C. an = 5n + 72 D. an = -5n + 70

Mathematics