Let D be the region bounded by the curves y = Va, y = Ina, y = 0 and x=e. Which of the following is the expression of the volume of the solid S obtained by rotating the region D about y-axis an an integral(s) by using slicing (disk/washer) method? O a. V = 7 i « (Va - ina)da O b. V = 27 f */a da + 27 f #(Va – ina)da O c. V = 27 f (ey – y* )dy + 27 f (e? – y* )dy O d. V = 7 f (ey - * )dy + f (e? - y* )dy O e. V = 7 f avada + a ff a(Va – ina)dæ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let D be the region bounded by the curves y = Va, y = Ina, y = 0 and x=e. Which of the following is the
expression of the volume of the solid S obtained by rotating the region D about y-axis an an integral(s) by
using slicing (disk/washer) method?
O a. V = 7 i « (Va - ina)da
O b. V = 27 */a da + 27 f #(/a – ina)da
O c. V = 27 f (ey – y* )dy + 27 f (e? – y* )dy
O d. V = a f (e - * )dy + T f(e? - y* )dy
O e. V = a f aJa da + a ff «(/ – ina)dæ
Transcribed Image Text:Let D be the region bounded by the curves y = Va, y = Ina, y = 0 and x=e. Which of the following is the expression of the volume of the solid S obtained by rotating the region D about y-axis an an integral(s) by using slicing (disk/washer) method? O a. V = 7 i « (Va - ina)da O b. V = 27 */a da + 27 f #(/a – ina)da O c. V = 27 f (ey – y* )dy + 27 f (e? – y* )dy O d. V = a f (e - * )dy + T f(e? - y* )dy O e. V = a f aJa da + a ff «(/ – ina)dæ
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