18. Ris the annulus in the first and second quadrants bounded by x +y² = 9 and x² + y = 36; 8(x, y) = /x² + y²lb/ft? %3D
18. Ris the annulus in the first and second quadrants bounded by x +y² = 9 and x² + y = 36; 8(x, y) = /x² + y²lb/ft? %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Number 18
Transcribed Image Text:18. Ris the annulus in the first and second quadrants bounded
by x +y = 9 and x² + y = 36; 6(x, y) = vx² + y²lb/ft?
%3D
Transcribed Image Text:I dl (1,
1)
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. Ris the disk centered at the origin with radius 2; 8(x, y) =
(x+y+4)kg/m²
16. R is the circle sector bounded by x +y = 25 in the first
quadrant; 6(x, y) = (/x² + y² + 1)kg/m?
17. Ris the annulus in the first and second quadrants bounded
by x? +y? = 9 and x + y = 36; 8(x, y) = 4lb/ft?
%3D
%3D
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