1. 2. Sketch the enclosed region and use the Shell Method to calculate the volume of...

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1.

Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis. y = 16 - *?, * = 0,

2.

Use shells to find the volume (in units”) generated by rotating the region between the given curve and y = 0 around the x-axi

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Answer 1

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Solution: ty Pading fimiz 16-2² sy theight (4,0) (9,0) G using shell method y Radius Height (16-y)l2 Acgl 25 y -C.16-y) 2 (G =an [- scravy 167) 4091 11 - 8192K 15 this also generated area sheded toward negative na axis therefore Required volume 819 I

yos Height Radics 2 y=4 ㅗ H12 shell method using Radius y Height- layz ityz -o lity 2o y Acyl zay Hy2 6. rty dy Volume = SA A

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Answer 2

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