3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and between the lines y = x and r = 0 (see diagram to the right). The plate has a density of o(r, y) = 12y grams per cm², where r and y are measured in cm. First, set up an integral that gives the mass of the metal plate. Then, evaluate the integral by hand to find the mass of the plate, and show your work. Include the proper units with your final answer, and circle it.

3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and between the lines y = x and r = 0 (see diagram to the right). The plate has a density of o(r, y) = 12y grams per cm², where r and y are measured in cm. First, set up an integral that gives the mass of the metal plate. Then, evaluate the integral by hand to find the mass of the plate, and show your work. Include the proper units with your final answer, and circle it.

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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