Please complete number 11 and show work :)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Please complete number 11 and show work :)

5, 6, Z, 8, 9, 10, 11, and 12 Find the mass and center of mass of the lamina that occupies the region
D and has the given density function p.
5. D= {(x, y) |1< e < 3,1 < y < 4}; p (x, y) = ky²
Answer +
6. D={(x, y)| 0 < x < a, 0 < y < b}; p (x, y) = 1 + x² + y?
7. Dis the triangular region with vertices (0, 0), (2, 1), (0, 3); p (z, y) = a + y
Answer +
8. Dis the triangular region enclosed by the lines y = 0, y = 2x, and ¤ + 2y = 1; p (z, y) = =
9. Dis bounded by y = 1 – a² and y = 0; p (x, y) = ky
Answer +
10. D is bounded by y = x + 2 and y = x²; p (x, y) = ka²
11. D is bounded by the curves y = e», y = 0, x = 0, x = 1; p (x, y) = xy
Answer +
Transcribed Image Text:5, 6, Z, 8, 9, 10, 11, and 12 Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. 5. D= {(x, y) |1< e < 3,1 < y < 4}; p (x, y) = ky² Answer + 6. D={(x, y)| 0 < x < a, 0 < y < b}; p (x, y) = 1 + x² + y? 7. Dis the triangular region with vertices (0, 0), (2, 1), (0, 3); p (z, y) = a + y Answer + 8. Dis the triangular region enclosed by the lines y = 0, y = 2x, and ¤ + 2y = 1; p (z, y) = = 9. Dis bounded by y = 1 – a² and y = 0; p (x, y) = ky Answer + 10. D is bounded by y = x + 2 and y = x²; p (x, y) = ka² 11. D is bounded by the curves y = e¬ª, y = 0, x = 0, x = 1; p (x, y) = xy Answer +
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