Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis. y= -x +4

V =

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = Δx

Using the Disc Method, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V =

Then, for the region generated by  y = - x + 4:

V =

V =

V =

V =

V =

The volume of the revolved region is V =

the real question is why is this guys last name heavyfoot

step-by-step explanation:

the correct answer is b.

this is because an open circle means < or > & since the line goes left it is < -3.

the next one has a filled circle so it can only be ≥ or ≤ and since the line goes right from 1 it is ≥ 1

hope that