A buffalo stampede (see the left figure) is described by a velocity vector field F = (xy-y³, x² + y) km/hin the region D defined by a ≤ x ≤ b, a ≤ y ≤ bin units of kilometers (see the right figure). Assuming a density is p = 490 buffalo per square kilometer, a = 3 and b = 4, use the Flux Form of Green's Theorem to determine the net number of buffalo leaving or entering D per hour (equal to p times the flux of F across the boundary of D). (Give your answer as a whole number.) net number: buffalo/h

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A buffalo stampede (see the left figure) is described by a velocity vector field F = (xy-y²³, x² + y) km/hin the region D
defined by a ≤ x ≤ b, a ≤ y ≤ b in units of kilometers (see the right figure). Assuming a density is p = 490 buffalo per
square kilometer, a = 3 and b = 4, use the Flux Form of Green's Theorem to determine the net number of buffalo leaving
or entering D per hour (equal to p times the flux of F across the boundary of D).
C.K. Lorenz/Science Source
2
(Give your answer as a whole number.)
net number:
+X
3
buffalo/h
Transcribed Image Text:A buffalo stampede (see the left figure) is described by a velocity vector field F = (xy-y²³, x² + y) km/hin the region D defined by a ≤ x ≤ b, a ≤ y ≤ b in units of kilometers (see the right figure). Assuming a density is p = 490 buffalo per square kilometer, a = 3 and b = 4, use the Flux Form of Green's Theorem to determine the net number of buffalo leaving or entering D per hour (equal to p times the flux of F across the boundary of D). C.K. Lorenz/Science Source 2 (Give your answer as a whole number.) net number: +X 3 buffalo/h
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