n 2D space, tlie distance between two points (X1.Y1) and (X2. y2) is given by the formula z( – M) + z(*x - x)A Find the point(s) of the line 3x + 4y = 100 that is closest to the origin by minimizing the squnre of the distance using method of Lagrange multipliers. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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n 2D space, tihe distance between two points (x1. y1) and (X2, Y2) is given by the formula
V(x; - x22 + (y – y}?.
Find the point(s) of the line 3x + 4y = 100 that is closest to thhe origin by minimizing the square of the
distance using method of Lagrange multipliers.
Transcribed Image Text:n 2D space, tihe distance between two points (x1. y1) and (X2, Y2) is given by the formula V(x; - x22 + (y – y}?. Find the point(s) of the line 3x + 4y = 100 that is closest to thhe origin by minimizing the square of the distance using method of Lagrange multipliers.
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