6. Evaluate the line integral F · dr where F = (x³ —y¹, ex²+z², x² – 16y² z²) and C is the curve x² + z² = 1 on the xz-plane oriented counterclockwise when viewed from positive y-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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6. Evaluate the line integral F · dr where F = (x³ —y¹, ex²+z², x² – 16y² z²)
and C is the curve x² + z² = 1 on the xz-plane oriented counterclockwise
when viewed from positive y-axis.
Transcribed Image Text:6. Evaluate the line integral F · dr where F = (x³ —y¹, ex²+z², x² – 16y² z²) and C is the curve x² + z² = 1 on the xz-plane oriented counterclockwise when viewed from positive y-axis.
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