The curve C has equation y=x² + bx + 2 where b≥0. Find the value of b that minimizes the distance between the origin and the stationary point of the curve C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The curve C has equation
y=x² + bx + 2 where b≥0.
Find the value of b that minimizes
the distance between the origin
and the stationary point of the
curve C.
Transcribed Image Text:The curve C has equation y=x² + bx + 2 where b≥0. Find the value of b that minimizes the distance between the origin and the stationary point of the curve C.
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