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Find a formula F = (F₁(x, y), F₂(x, y)) for the vector field in the plane that has the properties that F(0, 0) = (0,0) and that at any other point (a, b) ‡ (0, 0) the vector field Fis tangent to the circle x² + y² = a² + 6² and points in the counterclockwise direction with magnitude ||F(a,b)|| = 3√√a² + b².

Find a formula F = (F₁(x, y), F₂(x, y)) for the vector field in the plane that has the properties that F(0, 0) = (0,0) and that at any other point (a, b) ‡ (0, 0) the vector field Fis tangent to the circle x² + y² = a² + 6² and points in the counterclockwise direction with magnitude ||F(a,b)|| = 3√√a² + b².

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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Find a formula F = ( F₁(x, y), F₂(x, y) ) for the vector field in the plane that has the properties that F(0,0) = (0,0) and that at any other point (a, b) ‡ (0, 0) the vector field is tangent to the circle x² + y² = a² + 6² and points in the counterclockwise direction with magnitude ||F(a,b)|| = 3√√a² + b². F =
Transcribed Image Text:Find a formula F = ( F₁(x, y), F₂(x, y) ) for the vector field in the plane that has the properties that F(0,0) = (0,0) and that at any other point (a, b) ‡ (0, 0) the vector field is tangent to the circle x² + y² = a² + 6² and points in the counterclockwise direction with magnitude ||F(a,b)|| = 3√√a² + b². F =
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