3. Let D be the solid enclosed by the planes x = 0, y = 0, z=x+3y, and z = 2 5 4x-2y. (a) Determine the volume of D. Use integration rather than a geometric argument, and express your answer as a single fraction. (b) Determine the z-coordinate of the centroid of D (the center of mass assuming constant density). Use integration rather than a geometric argument, and express your answer as a single fraction. You do not need to find any other coordinates.

3. Let D be the solid enclosed by the planes x = 0, y = 0, z=x+3y, and z = 2 5 4x-2y. (a) Determine the volume of D. Use integration rather than a geometric argument, and express your answer as a single fraction. (b) Determine the z-coordinate of the centroid of D (the center of mass assuming constant density). Use integration rather than a geometric argument, and express your answer as a single fraction. You do not need to find any other coordinates.

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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