Consider the region, R = {(x,y) E R²:0 < y < v1 – x², –1 < x < 1} %3D Lamina A has a density function of p(x, y) = 7 , with a center of mass at (XA, ỹA) Lamina B has a density function of p(x, y) = 100|x| , with a center of mass at (Xg, YB) Fill in the boxes with “>" "<" or "=". Briefly explain your reasoning. Hint: Start by sketching the region XA XB YA Ув

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the region, R = {(x, y) E R²:0 < y < v1 – x², –1 < x < 1}
Lamina A has a density function of p(x,y) = 7 , with a center of mass at (A, JA)
Lamina B has a density function of p(x, y) = 100|x|, with a center of mass at (XB, JB)
Fill in the boxes with ">" "<" or "=". Briefly explain your reasoning. Hint: Start by sketching the region
XA
XB
Хв
YA
Ув
Transcribed Image Text:Consider the region, R = {(x, y) E R²:0 < y < v1 – x², –1 < x < 1} Lamina A has a density function of p(x,y) = 7 , with a center of mass at (A, JA) Lamina B has a density function of p(x, y) = 100|x|, with a center of mass at (XB, JB) Fill in the boxes with ">" "<" or "=". Briefly explain your reasoning. Hint: Start by sketching the region XA XB Хв YA Ув
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