Evaluate the following line integrals (1 F. ds. (a) F = (x, y, z) and c(t) = (cos(t), sin(t), t) for 0 ≤t≤2π. -y (b) F = (x² + y²² ² + y²) X and c is the circle x²+ y² = 2(y+1) with clockwise orientation.
Evaluate the following line integrals (1 F. ds. (a) F = (x, y, z) and c(t) = (cos(t), sin(t), t) for 0 ≤t≤2π. -y (b) F = (x² + y²² ² + y²) X and c is the circle x²+ y² = 2(y+1) with clockwise orientation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Question
![Evaluate the following line integrals (1
F. ds.
(a) F = (x, y, z) and c(t) = (cos(t), sin(t), t) for 0 ≤t≤2π.
-y
(b) F = (x² + y²² ² + y²)
X
and c is the circle x²+ y² = 2(y+1) with clockwise orientation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12f51b64-c3b4-40b6-b565-16b387e10bf1%2Fa88e8c3e-ef4e-4a5c-8766-68a14344eb3f%2F655df1u_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the following line integrals (1
F. ds.
(a) F = (x, y, z) and c(t) = (cos(t), sin(t), t) for 0 ≤t≤2π.
-y
(b) F = (x² + y²² ² + y²)
X
and c is the circle x²+ y² = 2(y+1) with clockwise orientation.
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