Solve the problem.Find the volume of the solid generated by revolving the region bounded by the curve  the  and the vertical line  about the x-axis.

A. ?(e - 1)
B. ? e
C. 2?(e2 - 1)
D. ?(e2 - 1)


Answer: C

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 sin t, y = 5 cos t, 0 ? t ? 2?

A.  +  = 1

Counterclockwise from (0, 3) to (0, 3), one rotation
B.  +  = 1

Counterclockwise from (5, 0) to (5, 0), one rotation
C.  +  = 1

Counterclockwise from (3, 0) to (3, 0), one rotation
D.  +  = 1

Counterclockwise from (0, 5) to (0, 5), one rotation

Mathematics

Complete the syllogism so that it is valid and the conclusion is true. Answers may vary.No animal raised as a pet has been successfully reintroduced into the wild.Some animals born in captivity have been successfully reintroduced into the wild.?

What will be an ideal response?

Mathematics

Solve the equation for exact solutions over the interval [0, 2?).sin2x - cos2x = 0

A.
B.
C.
D.

Mathematics

Solve the problem.If a1 is -2 and d is 9, find S65.

A. 18,883 B. 18,304 C. 18,590 D. 17,430

Mathematics