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41 a) Sketch and shade the region R bounded by the curves y = x' +2, the line 2y-x 2,x = 0 an x = 2. Hence, find the area of R. b) If the region R (a) is rotated through 27 radian about the x-axis, find the volume of solid generated.

41 a) Sketch and shade the region R bounded by the curves y = x' +2, the line 2y-x 2,x = 0 an x = 2. Hence, find the area of R. b) If the region R (a) is rotated through 27 radian about the x-axis, find the volume of solid generated.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11 41 a. unit? 3 102 unit T ³ b.
Transcribed Image Text:11 41 a. unit? 3 102 unit T ³ b.
41 a) Sketch and shade the region R bounded by the curves y = x² +2, the line 2y-x = 2,x = 0 an x= 2. Hence, find the area of R. b) If the region R (a) is rotated through 27 radian about the x-axis, find the volume of solid generated.
Transcribed Image Text:41 a) Sketch and shade the region R bounded by the curves y = x² +2, the line 2y-x = 2,x = 0 an x= 2. Hence, find the area of R. b) If the region R (a) is rotated through 27 radian about the x-axis, find the volume of solid generated.
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