24 Find the volume generated by revolving about the y-axis the area bounded by y²= x-2, y=x-4.Use shell method.- 2x Sy y (y-y²+2) dyA(y.-1V = 2xfoBⒸV= 2x [*₁y (y-y²+6) dy-1LeDV = 2x-1V = 2x(2-y) (y-y²+2) dy(2-y) (y-y²+6) dy

Here we have to find the volume by using shell method.

Find the volume generated by revolving about the y-axis the area bounded by y2= x-2, y=x-4 Use shell method. A V = 2x 2= 1²x ( y (y-y²+2) dy ® S² B V = 2x S²12-1 -1 V= 2x = 2x²y (y-y²+6) dy = 1²₁ ₁2²- D V = 2x T (2-y) (y-y²+2) dy (2-y) (y-y²+6) dy

Find the volume generated by revolving about the y-axis the area bounded by y2= x-2, y=x-4 Use shell method. A V = 2x 2= 1²x ( y (y-y²+2) dy ® S² B V = 2x S²12-1 -1 V= 2x = 2x²y (y-y²+6) dy = 1²₁ ₁2²- D V = 2x T (2-y) (y-y²+2) dy (2-y) (y-y²+6) dy

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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