where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2

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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Evaluate
Sc ((y + 7 sin(x)) dx + (z² + 8 cos(y)) dy + x³ dz)
where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2.
[Hint: Observe that C lies on the surface z = 2xy.]
Jo
F. dr =
Transcribed Image Text:Evaluate Sc ((y + 7 sin(x)) dx + (z² + 8 cos(y)) dy + x³ dz) where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2. [Hint: Observe that C lies on the surface z = 2xy.] Jo F. dr =
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