The flow of a gas with a density of δ = 0.001 kg/m2 over the closed curve r(t) = (-sin t)i + (cos t)j, 0 ≤ t ≤ 2p, is given by the vector field F = δv, where v = xi + y2j is a velocity field measured in meters per second. Find the flux of F across the curve r(t).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The flow of a gas with a density of δ = 0.001 kg/m2 over the
closed curve r(t) = (-sin t)i + (cos t)j, 0 ≤ t ≤ 2p, is given
by the vector field F = δv, where v = xi + y2j is a velocity field
measured in meters per second. Find the flux of F across the curve
r(t).

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