Linear and quadratic vector fieldsa. For what values of a, b, c, and d is the fieldF = ⟨ax + by, cx + dy⟩ conservative?b. For what values of a, b, and c is the fieldF = ⟨ax2 - by2, cxy⟩ conservative?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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Linear and quadratic vector fields
a. For what values of a, b, c, and d is the field
F = ⟨ax + by, cx + dy⟩ conservative?
b. For what values of a, b, and c is the field
F = ⟨ax2 - by2, cxy⟩ conservative?

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