Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y=6/x^2 ,y=0,x=1,x=3 . 1) Find the y-axis
2) Find the line y=6

1) V = 12 π  ㏑ 3

2)

Step-by-step explanation:

Given that:

the graphs of the equations about each given line is:

Using Shell method to determine the required volume,

where;

shell radius = x;   &

height of the shell =

∴

Volume V =

V = 12 π ( ㏑ 3 - ㏑ 1)

V = 12 π ( ㏑ 3 - 0)

V = 12 π  ㏑ 3

2) Find the line y=6

Using the disk method here;

where,

Inner radius

outer radius R(x) = 6

Thus, the volume of the solid is as follows:

Recall that:

Then:

The graph of equation for 1 and 2 is also attached in the file below.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

she will travel a distance in the range of 3 - 11 miles