Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = , y = 0, y = x - 6

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


Answer: B

Mathematics

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Determine the indefinite integral. Check your work by differentiation.dt

A. -9sin t + C
B. -9 cos t + C
C. -  + C
D. -  + C

Mathematics

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve.x = 8 sin t, y = 8 cos t, for t in [0, 2?] 

A.

y = x2 - 9, for x in [-2, 2]
B.

y =  = 64, for x in [-8, 8]
C.

x2 + y2 = 64, for x in [-8, 8]
D.

y2 - x2 = 64, for x in [-8, 8]

Mathematics

The table shows, for some particular year, a listing of several income levels and, for each level, the proportion of the population in the level and the probability that a person in that level bought a new car during the year. Given that one of the people who bought a new car during that year is randomly selected, find the probability that that person was in the indicated income category. Round your answer to the nearest hundredth. $50,000 and over

A. .24 B. .28 C. .22 D. .25

Mathematics

Based on the graph, find the range of y = f(x).f(x) = 

A. [0, 8]
B. [0, 8)
C. [0, ?)
D. [0, ]

Mathematics