Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x2 + 2, y = 3x + 2

A. 27?
B. ?
C. ?
D. ?


Answer: B

Mathematics

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Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. Suppose a random sample of earthquakes gave the following information.  x 2.5 4 3.40 4.4 2.4 y 5.2 10.3 10.8 10.3 8.3 Draw the line that best fits the data whose scatter diagram is given below. 

A.


B.


C.


D.


E.


Mathematics

Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0, b].y =   + 7

A. -  - 7b
B.  + 7
C. -  - 7
D.  + 7b

Mathematics

Find the area enclosed by the given curves.y = csc 2 x, y = cot 2 x, x = , and x = 

A.
B. ?
C.
D.

Mathematics

Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line y = 4x3, below by x-axis, and on the right by the line x = 1, about the line y = - 1

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

Mathematics