14. R is the triangle with corners (0,0), (1,0), and (0,1); 8(x, y) = (x² + y +1)lb/in? %3D
14. R is the triangle with corners (0,0), (1,0), and (0,1); 8(x, y) = (x² + y +1)lb/in? %3D
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...
Related questions
Question
14.
![(0,4)
T.
In Exercises 11 - 18, find the mass/weight of the lamina de-
scribed by the region R in the plane and its density function
8(x, y).
11. R is the rectangle with corners (1, -3), (1,2), (7,2) and
(7,-3); 8(x, y) = 5gm/cm?
12. R is the rectangle with corners (1, -3), (1, 2), (7, 2) and
(7,-3); 8(x, y) = (x+y²)gm/cm2
13. R is the triangle with corners (-1,0), (1,0), and (0, 1);
8(x, y) = 2lb/in?
14. R is the triangle with corners (0, 0), (1, 0), and (0, 1);
8(x, y) = (x² + y² + 1)lb/in?
15. R is the disk centered at the origin with radius 2; 8(x, y) =
(x+y+4)kg/m?
16. R is the circle sector bounded by x + y = 25 in the first
quadrant; 8(x, y) = (/x² + y? + 1)kg/m²
17. Ris the annulus in the first and second quadrants bounded
by x + y = 9 and x + y = 36; 8(x, y) = 4lb/ft?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31ce1e8d-8f4e-4c20-90c6-11e9ea2fb3d1%2F376c5f1a-9af5-4740-b9e6-679f61cd2b5e%2Fyio74xs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(0,4)
T.
In Exercises 11 - 18, find the mass/weight of the lamina de-
scribed by the region R in the plane and its density function
8(x, y).
11. R is the rectangle with corners (1, -3), (1,2), (7,2) and
(7,-3); 8(x, y) = 5gm/cm?
12. R is the rectangle with corners (1, -3), (1, 2), (7, 2) and
(7,-3); 8(x, y) = (x+y²)gm/cm2
13. R is the triangle with corners (-1,0), (1,0), and (0, 1);
8(x, y) = 2lb/in?
14. R is the triangle with corners (0, 0), (1, 0), and (0, 1);
8(x, y) = (x² + y² + 1)lb/in?
15. R is the disk centered at the origin with radius 2; 8(x, y) =
(x+y+4)kg/m?
16. R is the circle sector bounded by x + y = 25 in the first
quadrant; 8(x, y) = (/x² + y? + 1)kg/m²
17. Ris the annulus in the first and second quadrants bounded
by x + y = 9 and x + y = 36; 8(x, y) = 4lb/ft?
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