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Question: Please Help!!!! trouble plotting using shell, disk and washer method

Question:Please Help!!!! trouble plotting using shell, disk and washer method

ummu 5 Maple 14
integral
February 17 2011
0



 

Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y=3, and the lines x=1 and x=-1 about (a) the x-axis; (b) the y-axis; (c) the line x=1; (d) the line y=3.

 

(a) 2π (b)π (c)12π/5 (d)26π/5

 

 

 

(a) Disc Method

(1)

 

 

 

 

 

(b) Shell Method

 (2)

 

 

 

(c) Shell Method

 (3)

   

   

 

(d) Washer method

outer radius x=3 inner radius x=3-3x^4

 (4)

Have a clue how to do part d as horizontal disks I assume using the plots above?

 

 

 



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