Let C be the oriented curve r(t) = (2 cost, 2 sin t.t) for 0 ≤ t ≤ 2π and F = (x, y, e²) be a vector field. Evaluate fF.Tds. A. e2 1 B. e² + 8 C. e²-1+8T D. √5(e² - 1) E. √5(e2-1+8″) -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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12. Let C be the oriented curve r(t) = (2 cost, 2 sin t.t) for 0≤ t ≤ 2π and F = (x, y, e²) be a vector
field. Evaluate F.Tds.
A. e2 1
B. e² + 8
C. e²-1+8π
D. √5(e² - 1)
E. √5(e21+8π)
Transcribed Image Text:12. Let C be the oriented curve r(t) = (2 cost, 2 sin t.t) for 0≤ t ≤ 2π and F = (x, y, e²) be a vector field. Evaluate F.Tds. A. e2 1 B. e² + 8 C. e²-1+8π D. √5(e² - 1) E. √5(e21+8π)
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