4. A metal piece with variable density has the shape of a parallelepiped with sides equal to 3, 4 and 5 cm, respectively. What is the mass of the piece if the density function (in dg/cm3) is given by: p(x, y, z) = 2x + xy +z+1; 0≤x≤ 3; 0 ≤ y ≤ 4; 0 ≤ z ≤ 5?

4. A metal piece with variable density has the shape of a parallelepiped with sides equal to 3, 4 and 5 cm, respectively. What is the mass of the piece if the density function (in dg/cm3) is given by: p(x, y, z) = 2x + xy +z+1; 0≤x≤ 3; 0 ≤ y ≤ 4; 0 ≤ z ≤ 5?

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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4. A metal piece with variable density has the shape of a parallelepiped with
sides equal to 3, 4 and 5 cm, respectively. What is the mass of the piece if the
density function (in dg/cm3) is given by:
p(x, y, z) = 2x + xy² + z + 1; 0 ≤ x ≤ 3; 0 ≤ y ≤ 4; 0 ≤ z ≤ 5?

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