Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. (round your answer to three decimal places.) xy = 6 y = 2 y = 6 x = 6

Step-by-step explanation:

Here we have the curve xy =6 bounded by the line y=2, y=6 and x=6.

This region is rotated about x =6

We have to find the volume

Since rotated about vertical line parallel to y axis, shifting y axis to right by 6 units we get

the curve equation as

(6-x)y=6

6y-6xy =6

6xy =6(y-1)

x = (y-1)/y

and limits for y is 2 to y

Volume =

Substitute limits

Volume =

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.