Minimum distance from a line to a parabola in xy -plane By
Chapter , Problem 14AAE(choose chapter or problem)
Minimum distance from a line to a parabola in xy-plane minimizing the function \(f(x, y, u, v)=(x-u)^{2}+(y-v)^{2}\) subject to the constraints \(y=x+1\) and \(u=v^{2}\), find the minimum distance in the xy-plane from the line \(y=x+1\) to the parabola \(y^{2}=x\).
Equation Transcription:
Text Transcription:
f(x, y, u, v)=(x-u)^2 +(y-v)^2
y=x+1
u=v^2
y^2 =x
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