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
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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.
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
Find the area enclosed by the given curves.y = csc 2 x, y = cot 2 x, x = , and x =
A.
B. ?
C.
D.
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. ?