Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the y-axis are equilateral triangles.

Step-by-step explanation:

A cross section represents the side s of an equilateral triangle. The height of an equilateral triangle is given by:

so the area of one triangle is:

The equation of line represents the diagonal is

if we integrate along the y-axis this will represent the s value

integrate from 0 to 2

isi

step-by-step explanation:

use that smart brain

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.