Question

In: Math

Let R be the region bounded by the following graphs. Find the quantities below.y= (x−1)^2+ 1,y=...

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.

Solutions

Expert Solution

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.


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