Mark the correct statements. i. The value of the line integral of the scalar field depends on the positive direction of the curve. ii. If the scalar field is integrated along a circle, the result does not depend on how many times the circle is rotated. iii. The line integral of a positive scalar field (if defined) is always ≥0. iv. The center of a plane curve is a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Mark the correct statements.


i.
The value of the line integral of the scalar field depends on the positive direction of the curve.


ii.
If the scalar field is integrated along a circle, the result does not depend on how many times the circle is rotated.


iii.
The line integral of a positive scalar field (if defined) is always ≥0.


iv.
The center of a plane curve is always located at a point on the curve.

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