Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = 7csc x, y = 0, x = , x = 

A. 98?
B. 14?
C. 49?
D. 147?


Answer: A

Mathematics

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Write one or more inequalities that describe the set of points.The closed region bounded by the spheres of radius 2 and 6, both centered at the origin, and the planes  and 

A. 4 ? x2 + y2 + z2 ? 36 and 1 ? x ? 3 B. 2 < x2 + y2 + z2 < 6 and x = 1 and x = 3 C. 2 ? x2 + y2 + z2 ? 6 and x = 1 and x = 3 D. 4 < x2 + y2 + z2 < 36 and 1 < x < 3

Mathematics

Solve the equation.-  = -9

A. {12} B. {-27} C. {-12} D. {27}

Mathematics

Solve the problem.At a state fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One of the pickups pulls with a force of 1400 pounds and the other pulls with a force of 3600 pounds with an angle of 45° between them. With how much force must the monster truck pull in order to remain unmoved? HINT: Find the resultant force of the two trucks. Round your answer to the nearest tenth. 

A. The truck must pull with a force of 2415.0 lb. B. The truck must pull with a force of 2791.5 lb. C. The truck must pull with a force of 4481.9 lb. D. The truck must pull with a force of 4695.5 lb.

Mathematics

Perform the indicated operation. - 

A. -m B. m C. 1 D. 0

Mathematics