Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.
f(x)=e-x, y=0, x=-2, x=1.

27.11514 pi

Step-by-step explanation:

Given is a function exponential as

The region bounded by the above curve, y =0 , x=-2 x =1 is rotated about x axis.

The limits for x are -2 and 1

The volume when rotated through x axis is found by

Here a = -2 and b =1

volume =

=

  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.