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Consider the Voronoi diagram below for a city that contains the towns A, B, C, and D. The equation of the perpendicular bisector between sites A and D, PB(A,D), is found to be y = x – 25 y (km) •B(19, 34) Vi(18, 13) C(39, 14) A(-1, 4) . x (km) V2 PB(C,D) PB(A,D) •D(29, –26) (a) Determine the equation of the perpendicular bisector between C and D, PB(C,D). (b) Hence, determine the coordinates of the intersection V2.

Consider the Voronoi diagram below for a city that contains the towns A, B, C, and D. The equation of the perpendicular bisector between sites A and D, PB(A,D), is found to be y = x – 25 y (km) •B(19, 34) Vi(18, 13) C(39, 14) A(-1, 4) . x (km) V2 PB(C,D) PB(A,D) •D(29, –26) (a) Determine the equation of the perpendicular bisector between C and D, PB(C,D). (b) Hence, determine the coordinates of the intersection V2.

Advanced Engineering Mathematics
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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Consider the Voronoi diagram below for a city that contains the towns A, B, C, and D. The equation of the perpendicular bisector between sites A and D, PB(A,D), is found to be y = x – 25 y (km) •B(19,34) Vi(18, 13)* C(39, 14) A(-1, 4). a (km) V2 PB(C,D) PB(A,D) •D(29, –26) (a) Determine the equation of the perpendicular bisector between C and D, PB(C,D). (b) Hence, determine the coordinates of the intersection V2. (c) Determine the optimal position for a toxic waste dump in this city, such that it is as far away from a town as possible.
Transcribed Image Text:Consider the Voronoi diagram below for a city that contains the towns A, B, C, and D. The equation of the perpendicular bisector between sites A and D, PB(A,D), is found to be y = x – 25 y (km) •B(19,34) Vi(18, 13)* C(39, 14) A(-1, 4). a (km) V2 PB(C,D) PB(A,D) •D(29, –26) (a) Determine the equation of the perpendicular bisector between C and D, PB(C,D). (b) Hence, determine the coordinates of the intersection V2. (c) Determine the optimal position for a toxic waste dump in this city, such that it is as far away from a town as possible.
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