  # J-4116x1(16 x2) dx330- .1283 /3or another method see Exercise 64.(Cootating the region15. y x, y0, x = 1; about x 2ine. Sketch the16. xy 1, y= ), x = 1, x = 2; about x = -117. x y2, x= 1 - y; about x 3he x-axis18. y x, y 0, x = 2, x = 4; about x = 1x-axisxis19-30 Refer to the figure and find the volume generated byrotating the given region about the specified line.x-axisbyAC(O, 1)RZB(1, 1)y=rTOWOXA(1, 0)19. Ri about OA20. R1 about 0C=-121. Ri about AB22. Ry about BC

Question

#15

check_circleExpert Solution
Step 1

Given region which are bounded by the below curve and rotating about the line x=2 is

Step 2

For finding the volume of solid, observe that the shape of the figure looks like cylindrical shell after rotation and the volume of the cylindrical shell is given by

Step 3

y=x3 will work as height of the region being revolved about x=2. Since the...

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### Calculus 