у. F = (y – x, x) C: r(t) = (2 cos t, 2 sin t)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 54E
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Question
Circulation Consider the following
oriented curves C in the plane (see figures).
a. Based on the picture, make a conjecture about whether the circulation
of F on C is positive, negative, or zero.
b. Compute the circulation and interpret the result.
F = ⟨y - x, x⟩ ; C: r(t) = ⟨2 cos t, 2 sin t⟩ , for 0 ≤ t ≤ 2π
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