Homework Soursey1 and y112x interval x01 find the area of the solid formed
y=1 and y=1-1/2x interval x=[0,1] find the area of the solid formed when the inside of these two functions is rotated about the y-axis
Solution
y=1-x/2
implies
x/2=1-y
x=2-2y
when x=0, y=1
x=1, y=1/2
The volume is
1/21(1-(2-2y)^2) dy=/3
![y=1 and y=1-1/2x interval x=[0,1] find the area of the solid formed when the inside of these two functions is rotated about the y-axisSolutiony=1-x/2 implies x/](/WebImages/4/y1-and-y112x-interval-x01-find-the-area-of-the-solid-formed-980323-1761503184-0.webp "y=1 and y=1-1/2x interval x=[0,1] find the area of the solid formed when the inside of these two functions is rotated about the y-axisSolutiony=1-x/2 implies x/")
