1. Find fF. dr where f(x, y, z) = (3x²y, r³, 3ry) and C is the curve obtained by intersecting the hyperbolic paraboloid z = y² – x² with the cylinder x² + y² = 1, oriented counterclockwise as viewed - from above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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1. Find f F dr where f(x, y, z) = (3x²y, r³, 3xy) and C is the curve obtained by intersecting the
hyperbolic paraboloid z = y² – x² with the cylinder x² + y² = 1, oriented counterclockwise as viewed
from above.
-
Transcribed Image Text:1. Find f F dr where f(x, y, z) = (3x²y, r³, 3xy) and C is the curve obtained by intersecting the hyperbolic paraboloid z = y² – x² with the cylinder x² + y² = 1, oriented counterclockwise as viewed from above. -
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