Let R be the region in the first quadrant bounded by the following curves. The sketch is given below Curve1: −2(x − 1)2 = y − 3  Curve 2 : 4 = x + y  and Curve 3 : y = 1.   iii)  If R is revolved about the line x = 4 using washers, find the volume of the solid generated  iv) If the cross-sections perpendicular to the y-axis are squares, find the volume of the solid whose base is R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let R be the region in the first quadrant bounded by the following curves. The sketch is given below

Curve1: −2(x − 1)2 = y − 3 

Curve 2 : 4 = x + y 

and Curve 3 : y = 1.

 

iii)  If R is revolved about the line x = 4 using washers, find the volume of the solid generated 
iv) If the cross-sections perpendicular to the y-axis are squares, find the volume of the solid whose base is R

(1,3)
(0,1)
(3,1)
Transcribed Image Text:(1,3) (0,1) (3,1)
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