In: Math
Let R be the region bounded by the following graphs. Find the quantities below.y= (x−1)^2+ 1,y= 1,x= 0
a. Volume of the solid formed by rotating R about the x-axis, using the shell method.
b. Volume of the solid formed by rotating R about they-axis, using the disc method.
At first we draw the region bounded by the curves. Then rotating the region about X axis and get a solid. Then evaluate the volume of the solid using shell method.
When rotating the region about y axis ,we evaluate the volume by using disk method.